asked 91.4k views
4 votes
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
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User Ddso
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8.1k 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
answered
User Fsword
by
7.8k points
5 votes

Answer:

d

Explanation:

answered
User Burhan
by
8.6k points

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