Question

if ∠a and ∠c are supplementary and m∠c = 145°, solve for m∠a.

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, $m\angle a + m\angle c=180^{\circ}$.

Step2: Substitute the value of $m\angle c$

Given $m\angle c = 145^{\circ}$, we have $m\angle a+145^{\circ}=180^{\circ}$.

Step3: Solve for $m\angle a$

$m\angle a=180^{\circ}- 145^{\circ}$.

Answer:

$35$