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21 votes
21 votes
PQRS is a parallelogram. Find each measure. 2x 1. RS 10nº 8 m R 2. m_S X + 3 3. MZR А B

User Big Russ
by
2.9k points

1 Answer

8 votes
8 votes

First we need to find x

RS = PQ

x+ 3 = 2x

collect like term

2x - x = 3

x = 3

RS= x + 3 = 3+ 3 = 6

To find the angle, we need to find n

m< S and m < R are consecutive angles, hence its sum is equal 180 degree

That is;

m< S + m< R = 180°

10n° + 8n° = 180 °

18n° = 180°

Divide both-side of the equation by 18°

n = 10

m< S = 10 n° = 10(10) = 100°

m

User Torre
by
3.2k points
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