Question

∠x and ∠y are supplementary angles. ∠y measures 142°. what is the measure of ∠x?

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, $\angle x+\angle y = 180^{\circ}$.

Step2: Substitute the value of $\angle y$

Given $\angle y = 142^{\circ}$, then $\angle x=180^{\circ}-\angle y$.

Step3: Calculate $\angle x$

$\angle x = 180 - 142=38^{\circ}$

Answer:

$38$