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are supplementary
angles.
.
Find .
(2 points)
∠1 and ∠2
m∠1 is 4y + 7, and m∠2 is 9y + 4
m∠2
To find angle measures, we can set the measure of one angle equal to its given value and solve for the variable.
Given:
m∠1 = 4y + 7
m∠2 = 9y + 4
Since the angles are supplementary, their measures must add up to 180 degrees. Therefore,
m∠1 + m∠2 = 180
Substituting the given values:
(4y + 7) + (9y + 4) = 180
Combine like terms:
13y + 11 = 180
Subtract 11 from both sides:
13y = 169
Divide both sides by 13:
y = 13
To find the measure of each angle, substitute y = 13 back into the given expressions:
m∠1 = 4(13) + 7 = 52 + 7 = 59
m∠2 = 9(13) + 4 = 117 + 4 = 121
Therefore, m∠1 = 59 degrees and m∠2 = 121 degrees.