Proving Angle Sum Property

Q. Find the measure of y in the given figure.

1. ${80}^{\circ }$
2. ${60}^{\circ }$
3. ${30}^{\circ }$
4. ${45}^{\circ }$

Q. In $△$ABC, the value of x(in degrees) is

1. 110

Q. The value of x + y in the given figure is

1. 120${}^{\circ }$
2. 60${}^{\circ }$
3. 180${}^{\circ }$

Q.

If $2\angle A=3\angle B=6\angle C$ in a $\Delta ABC$, then $\angle A$, $\angle B$, $\angle C$ are

1. 30°, 60°, 90°

2. 90°, 60°, 30°

3. 30°, 90°, 60°

4. 45°, 90°, 45°

Q.

Which of the following is/are true?

1. Only (ii)

2. Only (i)

3. Only (iii)

4. All. (i), (ii) and (iii)

Q.

In the figure given below, if lines PQ and RS intersect at point T, such that,
$\angle PRT={40}^{\circ }$, $\angle RPT={95}^{\circ }$ and $\angle TSQ={75}^{\circ }$, then find $2\angle SQT$.

1. None of the above

2. ${120}^{\circ }$

3. ${150}^{\circ }$

4. ${80}^{\circ }$

5. ${90}^{\circ }$

Q. Show that the angles of an equilateral triangle are ${60}^0$ each.

Q.

If $2\angle A=3\angle B=6\angle C$ in a $\Delta ABC$, then $\angle A$, $\angle B$, $\angle C$ are

1. ${30}^{\circ },{60}^{\circ },{90}^{\circ }$

2. ${90}^{\circ },{60}^{\circ },{30}^{\circ }$

3. ${30}^{\circ },{90}^{\circ },{60}^{\circ }$

4. ${45}^{\circ },{90}^{\circ },{45}^{\circ }$

Q. Which of the following statements are true$\left(T\right)$ and which are false$\left(F\right)$

$v)$ All the angles of a triangle can be equal to ${60}^{\circ }$

Q.

Find the value of X in the figure below:

1. 60${}^{\circ }$

2. 70${}^{\circ }$

3. 80${}^{\circ }$

4. 100${}^{\circ }$

Q. In the given figure, line l intersects two parallel lines PQ and RS. Then which one of the following is not true?

1. $\angle 6=\angle 7$
2. $\angle 1=\angle 3$
3. $\angle 4=\angle 7$
4. $\angle 2=\angle 4$

Q.

Two lines AB and DE are parallel to each other. The line CM is parallel to both the lines AB and DE. AE and BD intersect each other at point C. If $\angle$ACB = ${40}^{\circ }$ and $\angle$CED = ${60}^{\circ }$, find the value of $\angle$BCM.

1. ${80}^{\circ }$

2. ${60}^{\circ }$

3. ${120}^{\circ }$

4. 30${}^{\circ }$

Q.

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is an isosceles triangle.

1. False

2. True

Q.

Find the value of (x+y) from the figure below:

1. 120${}^{\circ }$

2. 60${}^{\circ }$

3. 80${}^{\circ }$

4. 45${}^{\circ }$

Q.

Sum of the interior angles of a triangle is ___.

1. 90${}^{\circ }$

2. 360${}^{\circ }$

3. 135${}^{\circ }$

4. 180${}^{\circ }$

Q.

In the figure, the bisector of B and C meet at O. Then $\angle$ BOC is

1. 90${}^{\circ }$ + $\frac{1}{2}\angle$ B

2. 90${}^{\circ }$ + $\frac{1}{2}\angle$ A

3. 90${}^{\circ }$ + $\frac{1}{2}\angle$ C

4. 90${}^{\circ }$ - $\frac{1}{2}\angle$ A

Q.

Find the value of X in the figure below:

1. 60${}^{\circ }$

2. 70${}^{\circ }$

3. 80${}^{\circ }$

4. 90${}^{\circ }$

Q. Match the exterior angles of $△ABC$ with their corresponding interior opposite angles.

1. ∠A + ∠C
2. ∠B + ∠C
3. ∠A + ∠B

Q.

Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

1. 30${}^{\circ }$

2. 60${}^{\circ }$

3. 80${}^{\circ }$

4. 40${}^{\circ }$

Q.

In the figure, sides QP and RQ of $\Delta$PQR are produced to points S and T, respectively. If $\angle$SPR = ${135}^{\circ }$ and $\angle$PQT = ${110}^{\circ }$, find 2$\angle$PRQ.

1. ${90}^{\circ }$

2. ${150}^{\circ }$

3. ${110}^{\circ }$

4. ${130}^{\circ }$