Answer: ∠OZP = 62 ∠PZQ = 63
<u>Step-by-step explanation:</u>
Use the Angle Addition Postulate
∠OZP + ∠PZQ = ∠OZQ
(4r + 2) + (5r - 12) = 125
9r - 10 = 125
9r = 135
r = 15
∠OZP = 4r + 2
= 4(15) + 2
= 60 + 2
= 62
∠PZQ = 5r - 12
= 5(15) - 12
= 75 - 12
= 63
Answer:
Angle HAB and Angle FAE are congruent angles
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
In this problem
m∠FAH+m∠HAB=180° ----> by a linear pair
Remember that
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. A linear pair of angles must add up to 180 degrees
m∠FAH+m∠FAE=180° ----> by a linear pair
therefore
m∠HAB=m∠FAE -----> by vertical angles
Angle HAB and Angle FAE are congruent angles
Answer:
c
Step-by-step explanation:
because when the solution is done it equals 90°
