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9 votes
9 votes
I need to figure out on how to do this, please help me

I need to figure out on how to do this, please help me-example-1
User Lakshman Battini
by
3.5k points

1 Answer

29 votes
29 votes

Answer:

Q = 108°

R = 72°

Explanation:

Quadrilateral means this is a four-sided shape. Parallelogram means that both sets of opposite side are parallel, so all the angles are either equal or add up to 180° (supplementary)

The order of the letters matters bc PQRS means that you go along an edge from P to Q, but you have to go thru the middle of the shape to get from P to R. So P and Q add up to 180°.

P + Q = 180°

72° + Q = 180°

Q = 108°

Opposite from each other, across the middle of the shape, P and R are equal.

P = R = 72°

User Hthms
by
2.6k points