<1 and <2 are supplementary angles. m<1 is 4y + 7, and m<2 is 9y + 4. Find m<2. show your work and the steps you use.
To find m<2, we can set up an equation using the fact that supplementary angles add up to 180 degrees.
Given:
m<1 = 4y + 7
m<2 = 9y + 4
Since <1 and <2 are supplementary angles, we have:
m<1 + m<2 = 180
Substituting the given values:
(4y + 7) + (9y + 4) = 180
Combining like terms:
13y + 11 = 180
Subtracting 11 from both sides:
13y = 169
Dividing both sides by 13:
y = 169/13
Calculating y:
y ≈ 13
Substituting y = 13 into m<2:
m<2 = 9(13) + 4
m<2 = 117 + 4
m<2 = 121
Therefore, m<2 = 121.