Question

find the measure of the angle indicated in bold.

Answer 1

108.6°

Step-by-step explanation:

The two angles are called consecutive interior angles and we know that the sum of these two angles is 180°. Therefore, we can write

$(23x + 1) + (36x +2) =.180$

$\Rightarrow 59x + 3 = 180$

or

$59x = 173 \Rightarrow x = 2.93$

This means that the angle in bold is

$36(2.93) + 3 = 108.6°$