Question

In the given figure angle PQR = 180 ° . Find X and hence complete the following
1. angle AQB
2. angle BQP
3. angle AQR​

Answer 1

Answer:

Angle AQB = 90°

Angle BQP = 150°

Angle AQR = 120°

Step-by-step explanation:

x+20+2x+10+x-10 = 180° (Linear Pair)

4x+20 = 180°

4x = 180-20°

4x= 160°

x = 160/4

x = 40°

Thus,

x + 20= 40+20= 60°

2x + 10= 2*40+10= 90°

x - 10= 40-10= 30°

To find:

Angle AQB = 90°

Angle BQP = 90+60= 150°

Angle AQR = 90+30= 120°