Question

In the figure below, the line / || line m. If the measure of <1=125° and the measure of <7=50°, then what is the measure of <5°

Answer 1

55 degrees.

Explanation:

m < 2 = 180 - 125 = 55 degrees (adjacent angles).

m < 5 = m < 2 (alternate angles).

Therefore m < 5 = m < 2 = 55 degrees.

Answer 2

∠5 = 55°

Explanation:

Since l and m are parallel lines, then ∠5 and ∠1 are same- side interior angles and are supplementary, thus

∠1 + ∠5 = 180°, that is

125° + ∠5 = 180° ( subtract 125° from both sides )

∠5 = 55°