Question

1 and 2 are supplementary angles m 1 is 4y +7 and m 2 is 9y+4 find m 2

Answers

Answered by GPT 3.5
If angles 1 and 2 are supplementary, that means their sum is 180 degrees. Therefore, the equation to solve for y is:

(4y + 7) + (9y + 4) = 180

Combine like terms:

13y + 11 = 180

Subtract 11 from both sides:

13y = 169

Divide both sides by 13:

y = 13

Now that we have the value for y, we can substitute it into the expression for angle 2:

m2 = 9y + 4

m2 = 9(13) + 4

m2 = 117 + 4

m2 = 121

Therefore, m2 is equal to 121.
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