1 and 2 are supplementary angles. m<1 is 2y+12 and the m<2 is 8y+8. Find m<2

Answer 1

Since 1 and 2 are supplementary angles, they add up to 180 degrees. Therefore, we can write the equation:
m<1 + m<2 = 180
2y + 12 + 8y + 8 = 180
10y + 20 = 180
10y = 160
y = 16
Now, we can substitute the value of y back into the equation for m<2:
m<2 = 8y + 8
m<2 = 8(16) + 8
m<2 = 128 + 8
m<2 = 136

So, m<2 is 136 degrees.