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olganol [36]
3 years ago
14

Given m < TUV = 78, find m < WUV

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

m∠WUV = 23°

Step-by-step explanation:

m∠TUW and m∠WUV must add up to m∠TUV

Step 1: Set up equation

m∠TUW + m∠WUV = m∠TUV

8x + 7 + 4x - 1 = 78

Step 2: Solve for <em>x</em>

12x + 6 = 78

12x = 72

x = 6

Step 3: Find m∠WUV

m∠WUV = 4x - 1

m∠WUV = 4(6) - 1

m∠WUV = 24 - 1

m∠WUV = 23°

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The area of the shaded part is 52 sq. inches. The correct option is b. 52 sq. inches

<h3>Calculating Area</h3>

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