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e-lub [12.9K]
3 years ago
6

Quadrilateral mntu below is a parallelogram. if m∠u = 5x and m∠t = 2x – 9, what is the measure of ∠t?

Mathematics
1 answer:
frez [133]3 years ago
7 0
1. A property a parallelogram must have is that adjacent angles must be supplementary, they add up to 180º. We are given the values of the adjacent angles U and T. Their sum must add up to 180º. Solve for x. 
<span>U + T = 180 </span>
<span>5x + 2x - 9 = 180 </span>
<span>7x - 9 = 180 </span>
<span>7x = 189 </span>
<span>x = 27 </span>
<span>Substitute this value of x for itself in angle T. </span>
<span>T = 2(27) - 9 </span>
<span>T = 54 - 9 </span>
<span>T = 45, (D) is the answer </span>
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