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Wll what is the value of y
(105)
A 58
B 122
C
D
142
155​

Wll what is the value of y (105) A 58 B 122 C D 142 155​-example-1

1 Answer

3 votes

Answer:

D

Explanation:

10x - 5 and 7x + 4 are vertical angles and congruent, hence

10x - 5 = 7x + 4 ( subtract 7x from both sides )

3x - 5 = 4 ( add 5 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

7x + 4 and y are same side interior angles and are supplementary, thus

y + 7x + 4 = 180 ← substitute x = 3

y + 21 + 4 = 180

y + 25 = 180 ( subtract 25 from both sides )

y = 155 → D

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