Question

the figure shows three intersecting lines. lines j and h are perpendicular.
a) how are ∠1 and ∠2 related?
complete the equation.
m∠1 + m∠2 = 90
when the measures of two angles sum to 90°, they are complementary. ∠1 and ∠2 are complementary angles.
b) m∠1 = 55°. what is m∠2?
m∠2 = \square°

Explanation:

Step1: Recall the relationship

We know that \( m\angle1 + m\angle2 = 90^\circ \) (complementary angles).

Step2: Substitute the known value

Given \( m\angle1 = 55^\circ \), substitute into the equation: \( 55^\circ + m\angle2 = 90^\circ \).

Step3: Solve for \( m\angle2 \)

Subtract \( 55^\circ \) from both sides: \( m\angle2 = 90^\circ - 55^\circ = 35^\circ \).

Answer:

\( 35 \)