Question

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

Explanation:

Step1: Use complementary - angle property

Since the angle with measure $51^{\circ}$ and $x$ are complementary (sum to $90^{\circ}$), we have $x + 51^{\circ}=90^{\circ}$. So, $x=90^{\circ}-51^{\circ}$.

Step2: Calculate the value of $x$

$x = 39^{\circ}$

Step3: Use supplementary - angle property

The angle with measure $y$ and the angle composed of $51^{\circ}$ and the right - angle are supplementary (sum to $180^{\circ}$). The angle composed of $51^{\circ}$ and the right - angle is $51^{\circ}+90^{\circ}=141^{\circ}$. Then $y+141^{\circ}=180^{\circ}$, so $y = 180^{\circ}-141^{\circ}$.

Step4: Calculate the value of $y$

$y = 39^{\circ}$

Answer:

$x = 39^{\circ}$, $y = 139^{\circ}$