The top piece from a model of city hall is shown below.
2 answers:
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Answer:
<h2>D. 61</h2><h2 />Step-by-step explanation:
find x from the given triangle.
first step is to get x
add all inside angles = 180
∠2 + ∠3 + ∠4 = 180
x + 40 + 5x + 14 = 180
x + 5x = 180 - 40 - 14
6x = 126
x = 126 / 6
x = 21
substitute x=21 into angle 4
∠4 = 5x + 14
∠4 = 5(21) + 14
∠4 = 119
lastly, add ∠1 + ∠4 = 180
∠1 + 119 = 180
∠1 = 180 - 119
∠1 = 61°
therefore, the answer is D. 61
