Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.