1. The angle which is equal to 8 times its complement is:
a. 72°
b. 88°
c. 90°
d. 80°
2. The angles of a triangle are in the ratio 5: 3: 7, the triangle is:
a. A right triangle
b. An obtuse angled triangle
c. An isosceles triangle.
d. An acute angled triangle
3. The complement of (90°–a) is:
a. a°
b. a°
c. 90° + a
d. 90° – a
4. The number of line segments determined by three given noncollinear points is:
a. Two
b. Four
c. Infinitely many
d. Three
5. The number of lines that can pass through a given point is/are:
a. Two
b. One
c. Infinity
d. Only one
6. An exterior angle of a triangle is 80° and two interior opposite angles are equal. What will be the measure of each of these angles?
a. 60°
b. 40°
c. 100°
d. 120°
7. In two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then find the smaller of the two angles?
a. 60°
b. 80°
c. 120°
d. 100°
8. The number of triangles that can be drawn having angles as 50°, 60° and 70° are:
a. Only one
b. Infinite
c. Two
d. None of these
9. How many triangles can be drawn having angles as 45°, 60° and 85°?
a. Infinitely many
b. Two
c. Only one
d. None of these
10. Each angle of an equilateral triangle is:
a. 30°
b. 90°
c. 60°
d. 45°
Chapter  6 Lines and Angles Quiz1  Math Class 9th
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Question 1 of 10
1. Question
The angle which is equal to 8 times its complement is:
Correct
We know that two angles, whose sum is 90°, are called complimentary angle
Let one angle be x then its complimentary angle be 8x
x + 8x = 90°
9x = 90°
x = 10°
Its complimentary angle is 8×10 = 80°Incorrect
We know that two angles, whose sum is 90°, are called complimentary angle
Let one angle be x then its complimentary angle be 8x
x + 8x = 90°
9x = 90°
x = 10°
Its complimentary angle is 8×10 = 80° 
Question 2 of 10
2. Question
The angles of a triangle are in the ratio 5: 3: 7, the triangle is:
Correct
Let the angles of the triangle be 5x, 3x and 7x
We know that the sum of the angles of a triangle is 180°
5x + 3x + 7x = 180°
15x = 180°
x = 12°
Therefore the angles are
5x = 5×12° = 60°
3x = 3×12° = 36°
7x = 7×12° = 84°
Since all the angles are less than 90° therefore it is an acute angled triangle.
Incorrect
Let the angles of the triangle be 5x, 3x and 7x
We know that the sum of the angles of a triangle is 180°
5x + 3x + 7x = 180°
15x = 180°
x = 12°
Therefore the angles are
5x = 5×12° = 60°
3x = 3×12° = 36°
7x = 7×12° = 84°
Since all the angles are less than 90° therefore it is an acute angled triangle.

Question 3 of 10
3. Question
The complement of (90°–a) is:
Correct
Two angles, whose sum is 90°, are called complimentary angle
Let x is a complimentary angle of (90°–a)
x + (90° – a) = 90°
x = 90° (90° – a)
x = 90° 90° + a
x = a°
Incorrect
Two angles, whose sum is 90°, are called complimentary angle
Let x is a complimentary angle of (90°–a)
x + (90° – a) = 90°
x = 90° (90° – a)
x = 90° 90° + a
x = a°

Question 4 of 10
4. Question
The number of line segments determined by three given noncollinear points is:
Correct
Three because noncollinear points means the point does not lies in a same line.
Incorrect
Three because noncollinear points means the point does not lies in a same line.

Question 5 of 10
5. Question
The number of lines that can pass through a given point is/are:
Correct
Incorrect

Question 6 of 10
6. Question
An exterior angle of a triangle is 80° and two interior opposite angles are equal. What will be the measure of each of these angles?
Correct
We know that exterior angle so formed is equal to the sum of the two interior opposite angles
Let the two interior opposite angles be x.
So
x + x = 80°
2x = 80°
x = 40°
Incorrect
We know that exterior angle so formed is equal to the sum of the two interior opposite angles
Let the two interior opposite angles be x.
So
x + x = 80°
2x = 80°
x = 40°

Question 7 of 10
7. Question
In two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then find the smaller of the two angles?
Correct
We know that sum of two interior angles on the same side of a transversal intersecting two parallel lines is 180°
Let the common ratio is x
So the angles are 5x, 4x
So 5x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
So the angels are 5x = 100°
4x = 80°
So smallest angle is 80°Incorrect
We know that sum of two interior angles on the same side of a transversal intersecting two parallel lines is 180°
Let the common ratio is x
So the angles are 5x, 4x
So 5x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
So the angels are 5x = 100°
4x = 80°
So smallest angle is 80° 
Question 8 of 10
8. Question
The number of triangles that can be drawn having angles as 50°, 60° and 70° are:
Correct
As we know similar triangles can be drawn for any given triangle.
These similar triangles will have the same angles as the original triangle (i.e. ∠50^{0}, ∠60^{0}, and ∠70^{0}) but with different length of the sides. So, it will be infinite in number.
Incorrect
As we know similar triangles can be drawn for any given triangle.
These similar triangles will have the same angles as the original triangle (i.e. ∠50^{0}, ∠60^{0}, and ∠70^{0}) but with different length of the sides. So, it will be infinite in number.

Question 9 of 10
9. Question
How many triangles can be drawn having angles as 45°, 60° and 85°?
Correct
If we add up the three given angles we get
45° +60° + 85° = 190°
But as we know that the sum of the angles of any triangle equals to 180°
Hence the above given triangle is not possible.Incorrect
If we add up the three given angles we get
45° +60° + 85° = 190°
But as we know that the sum of the angles of any triangle equals to 180°
Hence the above given triangle is not possible. 
Question 10 of 10
10. Question
Each angle of an equilateral triangle is:
Correct
We know that the angles of the equilateral triangles are equal.
Let the angle of an equilateral triangle be x.
x + x + x = 180° (Angle sum property)
3x = 180°
x = 60°
Incorrect
We know that the angles of the equilateral triangles are equal.
Let the angle of an equilateral triangle be x.
x + x + x = 180° (Angle sum property)
3x = 180°
x = 60°