Question

1. m < ywx

(9x - 28)°
(5x - 8)°
m < ywx= __________
find each measure

Explanation:

Step1: Set up equation based on angle - relationship

Assume that the larger angle $\angle YWX=(9x - 28)^{\circ}$ and the smaller angle is $(5x - 8)^{\circ}$. If the smaller angle is part of the larger angle, and there is no other information about the non - overlapping part, we assume the non - overlapping part is $0$. So, $9x-28 = 5x - 8$.
$9x-5x=-8 + 28$
$4x=20$
$x = 5$

Step2: Calculate the measure of $\angle YWX$

Substitute $x = 5$ into the expression for $\angle YWX$ which is $9x-28$.
$m\angle YWX=9\times5-28$
$m\angle YWX = 45-28$
$m\angle YWX=17^{\circ}$

Answer:

$17^{\circ}$