Since supplementary angles add up to 180 degrees, we can set up the equation:
m∠1 + m∠2 = 180
Substitute the given values:
(7x - 11) + (x - 25) = 180
Combine like terms:
8x - 36 = 180
Add 36 to both sides:
8x = 216
Divide by 8:
x = 27
Now substitute x back into m∠2 to find the measure of angle 2∠2:
m∠2 = x - 25
m∠2 = 27 - 25
m∠2 = 2 degrees
Therefore, the measure of angle 2∠2 is 2 degrees.
∠1 and angle, 2∠2 are supplementary angles. If m, angle, 1, equals, left bracket, 7, x, minus, 11, right bracket, degreesm∠1=(7x−11)
∘
and m, angle, 2, equals, left bracket, x, minus, 25, right bracket, degreesm∠2=(x−25)
∘
, then find the measure of angle, 2∠2.
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