Question

in the figure below, m∠1 = 135°. find m∠2.

Explanation:

Step1: Identify angle - relationship

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

Step2: Use supplementary - angle formula

Supplementary angles add up to $180^{\circ}$. Let $m\angle1 = 135^{\circ}$ and $m\angle2=x$. Then $m\angle1 + m\angle2=180^{\circ}$, so $x = 180 - 135$.

Step3: Calculate the value of $m\angle2$

$180-135 = 45$.

Answer:

$45$