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Please help me hurry

Please help me hurry-example-1
User Gullbyrd
by
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1 Answer

2 votes

Answer:

m<P = 48°

m<Q = 132°

Explanation:

Given:

m<S = (14x + 6)°

m<R = (5x + 3)°

Required:

m<P, m<Q

Solution:

✔️First, find the value of x

m<S + m<R = 180° (consecutive angles are supplementary)

14x + 6 + 5x + 3 = 180 (substitution)

Collect like terms

19x + 9 = 180

19x = 180 - 9

19x = 171

x = 171/19

x = 9

✔️m<P = m<R (opposite angles are congruent)

m<P = (5x + 3)° (substitution)

Plug in the value of x

m<P = 5*9 + 3

m<P = 48°

✔️m<Q = m<S (opposite angels are congruent)

m<Q = (14x + 6)°

Plug in the value of x

m<Q = 14*9 + 6

m<Q = 132°

User Nikandr Marhal
by
8.2k points

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