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∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2
To find m∠2, we need to solve the equation:
m∠1 + m∠2 = 180 (since ∠1 and ∠2 are supplementary angles)
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
Simplifying the fraction:
y ≈ 13
Now, we can find m∠2 by substituting this value of y into the expression for m∠2:
m∠2 = 9y + 4
m∠2 = 9(13) + 4
m∠2 = 117 + 4
m∠2 = 121
Therefore, m∠2 is 121.