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I need help with question 5 find m

I need help with question 5 find m-example-1
User Mgsdew
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1 Answer

5 votes

Answer:


m\angle V = 156\textdegree

Explanation:

First, we can solve for x using the fact that opposite interior angles of a parallelogram are congruent (and therefore their measures are equal).

m∠Y = m∠W

↓ plugging in the given values

10x - 27 = 2x + 29

↓ subtracting 2x from both sides

8x - 27 = 29

↓ adding 27 to both sides

8x = 29 + 27

↓ simplifying

8x = 56

↓ divide both sides by 8

x = 7

Now, we can find the m∠Y:

m∠Y = (10x - 27)°

m∠Y = 10(7)° - 27°

m∠Y = 70° - 27°

m∠Y = 42°

m∠W = m∠Y = 42°

Using m∠Y and m∠W, we can solve for m∠V and m∠X because we know that they are also congruent.


m\angle V = (360\textdegree - 2(42\textdegree))/(2)


m\angle V = \left((312)/(2)\right)\textdegree


\boxed{m\angle V = 156\textdegree}

User Nate Ko
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