∠1
and ∠2
are supplementary angles. m∠1
is 4y+7
, and m∠2
is 9y+4
. Find m∠2
If ∠1 and ∠2 are supplementary angles, then the sum of their measures is 180 degrees. Therefore, we can set up an equation: (4y+7) + (9y+4) = 180.
Combining like terms, we have 13y + 11 = 180.
Next, we subtract 11 from both sides to isolate the term with y: 13y = 169.
Finally, we divide both sides by 13 to solve for y: y = 13.
To find the measure of ∠2, we substitute the value of y back into the expression for m∠2: m∠2 = 9(13) + 4 = 121.
Therefore, m∠2 is 121 degrees.
To find the measure of angle ∠2, we will substitute the given expression for m∠2 into the equation for supplementary angles.
Given:
∠1 and ∠2 are supplementary angles.
m∠1 = 4y + 7
m∠2 = 9y + 4
Since ∠1 and ∠2 are supplementary angles, their measures add up to 180 degrees.
Therefore, we can write the equation:
m∠1 + m∠2 = 180
Substituting the given expressions for m∠1 and m∠2, we have:
4y + 7 + 9y + 4 = 180
Combining like terms, we get:
13y + 11 = 180
Next, we solve for y. Subtract 11 from both sides:
13y = 169
Divide both sides by 13:
y = 13
Now, substitute the value of y back into the expression for m∠2:
m∠2 = 9(13) + 4
Simplifying, we have:
m∠2 = 117 + 4
m∠2 = 121
Therefore, the measure of angle ∠2 is 121 degrees.