Question

in the figure below, ( mangle1 = 49^{circ} ). find ( mangle2 ).

Explanation:

Step1: Identify the relationship between angles

The two angles \( \angle1\) and \( \angle2\) are complementary (they form a right - angle, so \(m\angle1 + m\angle2=90^{\circ}\)).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 49^{\circ}\), we use the formula \(m\angle2=90^{\circ}-m\angle1\).
Substitute \(m\angle1 = 49^{\circ}\) into the formula: \(m\angle2 = 90^{\circ}-49^{\circ}\).

$$m\angle2=41^{\circ}$$

Answer:

\(41\)