To find the measure of ∠2, we need to find the value of y first.
Since ∠1 and ∠2 are supplementary angles, their measures add up to 180 degrees.
So, we can set up the equation:
m∠1 + m∠2 = 180
Substituting the given measure of ∠1 and ∠2:
4y + 7 + 9y + 4 = 180
Combining like terms:
13y + 11 = 180
Subtracting 11 from both sides:
13y = 169
Dividing both sides by 13:
y = 13
Now that we have found the value of y, we can substitute it back into the expression for m∠2:
m∠2 = 9y + 4
Substituting y = 13:
m∠2 = 9(13) + 4
Calculating:
m∠2 = 117 + 4
m∠2 = 121
Therefore, the measure of ∠2 is 121 degrees.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
∠1
and ∠2
are supplementary angles. m∠1
is 4y+7
, and m∠2
is 9y+4
. Find m∠2
.
(2 points)
1 answer