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∠x and ∠y are supplementary angles. ∠y measures 49°. what is the measur…

Question

∠x and ∠y are supplementary angles. ∠y measures 49°. 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 $\angle y = 49^{\circ}$, we have $\angle x+49^{\circ}=180^{\circ}$.

Step3: Solve for $\angle x$

$\angle x=180^{\circ}-49^{\circ}$.
$\angle x = 131^{\circ}$

Answer:

$131$