Question

Find the measure of each angle.If m∠EBC = 55° and m∠EBD = 20°, find m∠2

Answer 1

Using the angle addition theorem, the measure of angle 2 in the given diagram is: m∠2 = 35°

What is the Angle Addition Theorem?

Based on the angle addition theorem, the sum of two smaller angles that make up a bigger angle equals the sum of the bigger angle.

Given the following:

• m∠EBC = 55°
• m∠EBD = 20°

m∠EBC = m∠EBD + m∠2 [angle addition theorem]

Substitute

55 = 20 + m∠2

m∠2 = 55 - 20

m∠2 = 35°

Learn more about the angle addition theorem on:

brainly.com/question/13545681

#SPJ1