Answer:
A) ![m\angle x=55\°](https://tex.z-dn.net/?f=m%5Cangle%20x%3D55%5C%C2%B0)
B) Angle relationship used to find
was alternate interior angles of a traversal between two parallel lines
Step-by-step explanation:
Given :
![AB\parallel CD](https://tex.z-dn.net/?f=AB%5Cparallel%20CD)
![m\angle APQ=65\°](https://tex.z-dn.net/?f=m%5Cangle%20APQ%3D65%5C%C2%B0)
![m\angle PRD=120\°](https://tex.z-dn.net/?f=m%5Cangle%20PRD%3D120%5C%C2%B0)
To find measure of
.
Part A
From the figure we can say:
[Alternate interior angles are congruent]
∴
[By substitution ∵
]
For Δ PQR
[Sum of two interior angles of a triangle is equal to the opposite exterior angle]
[By subtraction property of equality]
[By substitution ∵ ![\angle PQR=65\°](https://tex.z-dn.net/?f=%5Cangle%20PQR%3D65%5C%C2%B0)
![m\angle x=55\°](https://tex.z-dn.net/?f=m%5Cangle%20x%3D55%5C%C2%B0)
Part B:
We used the angle relationship of alternate interior angles of traversal
between two parallel lines
to find measure one angle of the Δ PQR which in turn helped us to find the measure of other angle of triangle which is
as the two angles found are opposite to the exterior angle that is =120°
Relation used:
[Alternate interior angles are congruent]
[By substitution ∵
]
Answer:
Step-by-step explanation:
Brenda calculed the discounted price($112.5)
Then she calculed the 8%percent($9)
She added$ 9 to $112.5 = $121.5
Mac skipped the addition of the tax by directly multiply $112*$ 1.08 = $121.5
Both have the same result