Question

15-18 for independent practice.
heck the solutions with your teacher.

1. ∠3 is a complement of ∠4, and m∠3 = 46°.

find ∠4.

Explanation:

Step1: Recall complement angle definition

Complementary angles sum to $90^\circ$, so $m\angle3 + m\angle4 = 90^\circ$.

Step2: Substitute known angle measure

Substitute $m\angle3=46^\circ$: $46^\circ + m\angle4 = 90^\circ$.

Step3: Solve for $m\angle4$

$m\angle4 = 90^\circ - 46^\circ$

Answer:

$m\angle4 = 44^\circ$