A) 75 and 105 B) 40 and 40 C) 65 and 115 D) 56 and 56
2 answers:
Answer:
D) 56 and 56
Step-by-step 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)
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