Question

a how are ∠1 and ∠2 related?
complete the equation.

m∠1 + m∠2 = 90°

b when the measures of two angles sum to 90°,
we say they are complementary. ∠1 and ∠2 are
complementary angles.
m∠1 = 50°, what is m∠2?
m∠2 = 40°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^{\circ}\).

Step2: Use the formula for complementary angles

Given \(m\angle1 + m\angle2=90^{\circ}\) and \(m\angle1 = 57^{\circ}\). Substitute \(m\angle1\) into the equation: \(57^{\circ}+m\angle2 = 90^{\circ}\).

Step3: Solve for \(m\angle2\)

Subtract \(57^{\circ}\) from both sides of the equation: \(m\angle2=90^{\circ}- 57^{\circ}\).

Answer:

\(m\angle2 = 33^{\circ}\)