Question

1. using the diagram with five angles, and knowing that m∠4 = 27, find the measure of ∠1. describe the angle relationship that supports your answer.

a. m∠1=

b. describe the angle relationship that supports your answer.

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle1$ and $\angle4$ are vertical angles.

Step2: Determine angle measure

Since $\angle1$ and $\angle4$ are vertical angles and $m\angle4 = 27$, then $m\angle1=m\angle4$.

Answer:

a. $m\angle1 = 27$
b. $\angle1$ and $\angle4$ are vertical angles. Vertical angles are congruent, so their measures are equal.