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.
(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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