Question

∠A and ∠B are vertical angles. If m∠A=(2x+26)∘ and m∠B=(3x+21)∘, then find the measure of ∠B.

Answer 1

Answer:

• 36°

Step-by-step explanation:

As per definition the vertical angles are equal

• m∠A=(2x+26)° and m∠B=(3x+21)° are vertical angles

Finding the value of x

• 2x + 26 = 3x + 21
• 3x - 2x = 26 - 21
• x = 5°

Finding the angle measure

• m∠B = 3*5° + 21°= 36°