Answer:
x = 18°
m∠A = 110°
Step-by-step explanation:
Hello!
Angle A and Angle B are supplementary. Supplementary means they add up to 180°.
Step 1: Solve for x
We can add the two angles together and make it equal to 180° because they are supplementary.
- Angle A + Angle B = 180°
- 5x + 20° + 9x - 92° = 180°
- 14x - 72° = 180°
- 14x = 252°
- x = 18°
x = 18°
Step 2: Solve for Angle A
Now that we know the value of x, we can plug it in for the equation of Angle A and solve for the measure of Angle A
- Angle A = 5x + 20°
- Angle A = 5(18°) + 20°
- Angle A = 90° + 20°
- Angle A = 110°
Angle A = 110°
-Chetan K
