Question

question 1 - 3 (ma912.gr1.1) if ∠5 and ∠7 are supplementary and m∠5 = 55°. find the measures of the remaining numbered angles.

Explanation:

Step1: Find m∠7

Since ∠5 and ∠7 are supplementary, m∠7 = 180° - m∠5 = 180° - 55° = 125°.

Step2: Vertical - angle property

∠4 and ∠5 are adjacent, so m∠4 = 180° - 55° = 125°. ∠6 and ∠5 are vertical - angles, so m∠6 = 55°.

Answer:

m∠4 = 125°, m∠6 = 55°, m∠7 = 125°