Two angles are supplementary. The measure of the larger angle is 4 more than 3 times the measure of the smaller angle. Find the measures of both angles.
1 answer:
Answer:
<u>The smaller angle measures 44° and the larger measures 136° </u>
Step-by-step explanation:
Let'e recall that supplementary angles are two angles whose sum is 180° degrees.
Smaller angle = x
Larger angle = 3x + 4
Therefore, we have:
x + 3x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44 ⇒ 3x + 4 = 136
<u>The smaller angle measures 44° and the larger measures 136° </u>
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