Question

Note: Show your work

<1 and <2 are supplementary angles. M<1 is 4y+7, and m<2 is 9y + 4. Find m<2

Answer 1

We know that supplementary angles add up to 180 degrees. Therefore, we can set up the equation:

m<1 + m<2 = 180

Substituting the given values:

(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 we can find m<2 by substituting the value of y into the expression for m<2:

m<2 = 9y + 4

m<2 = 9(13) + 4

m<2 = 117 + 4

m<2 = 121