Question

in the figure below, m∠2 = 35°. find m∠1.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary.

Step2: Use complementary - angle formula

Complementary angles sum to $90^{\circ}$, so $m\angle1 + m\angle2=90^{\circ}$.

Step3: Solve for $m\angle1$

$m\angle1=90^{\circ}-m\angle2$.
Substitute $m\angle2 = 35^{\circ}$ into the formula: $m\angle1=90^{\circ}- 35^{\circ}=55^{\circ}$.

Answer:

$55$