Question

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

Explanation:

Step1: Identify angle - relationship

The two angles ∠1 and ∠2 are complementary (form a right - angle, 90°).

Step2: Set up the equation

Let \(m\angle1 = 35^{\circ}\) and \(m\angle2=x\). We know that \(m\angle1 + m\angle2=90^{\circ}\), so \(35^{\circ}+x = 90^{\circ}\).

Step3: Solve for \(m\angle2\)

\(x=m\angle2=90^{\circ}- 35^{\circ}\).
\(m\angle2 = 55^{\circ}\)

Answer:

\(55\)