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A) 75 and 105
B) 40 and 40
C) 65 and 115
D) 56 and 56

A) 75 and 105 B) 40 and 40 C) 65 and 115 D) 56 and 56-example-1
User Ddso
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5.6k points

2 Answers

5 votes

Answer:

D) 56 and 56

Explanation:

we can see that in this case, the two given angle are actually alternate angles (see attached for reference)

Which means their values are the same, i.e

-8x+8 = -6x+20 (add 6x to both sides)

-8x + 8 + 6x = 20

-2x + 8 = 20 (subtract 8 from both sides)

-2x = 20 - 8

-2x = 12

x = -6 (substitute this back into either expression )

-8x+8

= -8(-6)+8

= 48+8

= 56 (answer)

We can do a sanity check by substituting x = -6 into the other equation and verify that both angles are indeed the same

-6x+20

= -6(-6)+20

=36+20

= 56 (same as other answer)

A) 75 and 105 B) 40 and 40 C) 65 and 115 D) 56 and 56-example-1
User Fsword
by
5.0k points
5 votes

Answer:

d

Explanation:

User Burhan
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5.7k points