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∠1
and ∠2
are supplementary angles. m∠1
is 4y+7
, and m∠2
is 9y+4
. Find m∠2
.
Since ∠1 and ∠2 are supplementary angles, their measures add up to 180 degrees.
Therefore, we can set up the equation:
m∠1 + m∠2 = 180
Replacing m∠1 with 4y+7 and m∠2 with 9y+4:
(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 the value of y, we can find m∠2 by substituting y=13 into the expression for m∠2:
m∠2 = 9y + 4 = 9(13) + 4 = 117 + 4 = 121
Therefore, m∠2 is equal to 121.
To find m∠2, we need to set up an equation using the fact that ∠1 and ∠2 are supplementary angles. The sum of supplementary angles is 180 degrees.
Step 1: Set up the equation
∠1 + ∠2 = 180
Step 2: Substitute the given values
4y + 7 + 9y + 4 = 180
Step 3: Combine like terms
13y + 11 = 180
Step 4: Subtract 11 from both sides
13y = 169
Step 5: Divide both sides by 13
y = 13
Step 6: Substitute the value of y back into the equation to find m∠2
m∠2 = 9(13) + 4
m∠2 = 117 + 4
m∠2 = 121
So, m∠2 is 121.