2 Answers

Jeremy Farrance · Answer 1 · 2024-04-12T03:03:43+0000

Answer:

103

Explanation:

The sum of internal angles in a pentagon is 540 degrees. But in this case, it is also 10x+ (11x+7) + (10x + 3) + 14x + 8x. We get the equation:

10x+ (11x+7) + (10x + 3) + 14x + 8x = 540

53x + 10 = 540

53x = 530

x = 10

We have found x. Now we need to find the measure of angle s:

$m\angle S = 10x + 3 = 100 + 3 = 103$

We can also test out the value of x to make sure that it is correct:

$m\angle Q + m\angle R + m\angle S + m\angle T + m\angle U =$

= 10x + (11x + 7) + (10x + 3) + 14x + 8x =

= 100 + (110 + 7) + (100 + 3) + 140 + 80 =

= 100 + 117 + 103 + 140 + 80 =

540

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