Question

find the measure of the missing angles. answer attempt 1 out of 2 x = y =

Explanation:

Step1: Use right - angle property

Since the angle formed by the vertical and horizontal lines is a right - angle ($90^{\circ}$), and one part of it is $29^{\circ}$, for angle $x$, we have $x + 29^{\circ}=90^{\circ}$. So $x=90^{\circ}-29^{\circ}$.
$x = 90 - 29=61^{\circ}$

Step2: Use straight - angle property

The horizontal line forms a straight - angle ($180^{\circ}$). We know one part of the angles on the straight - line is $x = 61^{\circ}$ and the right - angle part. So for angle $y$, we have $y+90^{\circ}+x = 180^{\circ}$. Substitute $x = 61^{\circ}$ into it: $y+90^{\circ}+61^{\circ}=180^{\circ}$, then $y=180^{\circ}-90^{\circ}-61^{\circ}$.
$y=180-(90 + 61)=29^{\circ}$

Answer:

$x = 61$
$y = 29$