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Parallelogram Q T S R is shown. Sides Q T and R S are parallel, and sides Q R and T S are parallel. Angle Q is (9 x minus 6) degrees and angle R is (8 x minus 1) degrees. Devin started the work shown to solve for the unknown angle measures. 8x – 1 + 9x – 6 = 180 17x – 7 = 180 17x = 187 What are the measures of angles Q and R? m∠Q = ° m∠R = °

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Answer:

m<Q = 93 degrees

m<R = 87 degrees

Step-by-step explanation:

Given the following angles;

m<Q = 9x-6

m<R = 8x-1

Looking at Devin's work, we will see that he the sum of both angles is 180 degrees

Hence m<Q + m<R = 180

9x - 6 + 8x - 1 = 180

9x+8x-6-1 = 180

17x - 7 = 180

17x = 180 + 7

17x = 187

x = 187/17

x = 11

Get m<Q

m<Q = 9x - 6

m<Q = 9(11) - 6

m<Q = 99 - 6

m<Q = 93 degrees

Get m<R

m<R = 180 - m<Q

m<R = 180 - 93

m<R = 87degrees

Answer:

93 and 87

Step-by-step explanation:

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