1 and 2 are supplementary angles. m<1 is 2y+12 and the m<2 is 8y+8. Find m<2
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.
To find the measure of angle 2 (m<2), we need to use the fact that angles 1 and 2 are supplementary, meaning their measures add up to 180 degrees.
So, we can set up the equation:
m<1 + m<2 = 180
Substituting the given expressions for m<1 and m<2:
(2y + 12) + (8y + 8) = 180
Combining like terms:
10y + 20 = 180
Subtracting 20 from both sides:
10y = 160
Dividing both sides by 10:
y = 16
Now that we have the value of y, we can substitute it back into the expression for m<2 to find its measure:
m<2 = 8y + 8
m<2 = 8(16) + 8
m<2 = 128 + 8
m<2 = 136
Therefore, the measure of angle 2 (m<2) is 136 degrees.