Question

m∠XYZ = 117°

Find m∠XYW and m∠WYZ.

Answer 1

<XYZ = 117°

<XYW+ WYZ = 117°

(6x+44)+(-10x+65)= 117°

6x+44-10x+65= 117°

-4x+ 109= 117°

-4x= 117-109

-4x= 8

x= 8/-4

x= -2

<XYW= 6x+44= 6×-2+44= -12+44= 32°

<WYZ= -10x+65 = -10×-2+ 65= 20+65= 85°

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Answer 2

From the given question the correct answer is :

the m∠XYW is 32° and  m∠WYZ. is 85°.

Given :<XYZ = 117°

To find:

m∠XYW

m∠WYZ.

Solution:

<XYZ = 117°

<XYW+ WYZ = 117°

(6x+44)+(-10x+65)= 117°

6x+44-10x+65= 117°

-4x+ 109= 117°

-4x= 117-109

-4x= 8

x= 8/-4

x= -2

<XYW= 6x+44= 6×-2+44= -12+44= 32°

<WYZ= -10x+65 = -10×-2+ 65= 20+65= 85°

Hence, the m∠XYW is 32° and  m∠WYZ. is 85°.