Answer:
The angle that will be congruent to angle 4 is :
Angle 1
Step-by-step explanation:
It is given that:
angle 4 and angle 5 are complements.
Also, angle 1 and angle 5 are complements.
Congruent complementary Theorem--
It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.
Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.
Answer=Order of operations
The order of operations (which we use PEMDAS to help us remember) tells you which operation to do first.
Complementary means sum = 90, so 90-57 to get the other angle at 23 degrees
Supplementary means sum = 180, so 180-52 to get the other angle at 128 degrees