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in the figure below, m∠1 = 128°. find m∠2.

Question

in the figure below, m∠1 = 128°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are supplementary angles.

Step2: Use supplementary - angle formula

Supplementary angles add up to 180°. So $m\angle2=180^{\circ}-m\angle1$.

Step3: Substitute the value of $\angle1$

Given $m\angle1 = 128^{\circ}$, then $m\angle2=180 - 128$.

Step4: Calculate the result

$m\angle2 = 52^{\circ}$.

Answer:

$52$