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Find the m∠r and m∠y

Find the m∠r and m∠y-example-1
User Tattvamasi
by
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1 Answer

4 votes

r = 88.5

y = 3/4

Explanation:

From the lower triangle,

97 - 2x = 4x -2

Collecting all similar terms, we get

6x = 99 or x = 16.5

From the upper triangle, we can see that

5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5

Since the sum of all the interior angles of a triangle is equal to 180, we can write

4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180

4y = 3 or y = 3/4

User Achim Koellner
by
3.5k points