Question

find the angle measure. (see example 2.)

1. ∠1 is a complement of ∠2, and ( mangle1 = 23^circ ).

find ( angle 2 ).

Explanation:

Step1: Recall complement angle definition

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

Step2: Substitute known angle measure

Substitute $m\angle1=23^\circ$: $23^\circ + m\angle2 = 90^\circ$.

Step3: Solve for $m\angle2$

$m\angle2 = 90^\circ - 23^\circ$

Answer:

$67^\circ$