The measure of a given angle is 1/4 times that of its suplementary angle.find the measure of its complementary angle
babu11110:
hi
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Answered by
18
Answer:
Step-by-step explanation:
Here's what we know:
180 - x = 4(90-x) (supplementary angles add together to make 180 degrees. Complementary create 90 degrees. This particular angle's supplementary's partner is 4 times as large as its complementary's partner)
180 - x = 360 - 4x
180 + 3x = 360
3x = 180
x = 60
Let's check
180 - 60 = 120
So the supplementary angle is 120.
90 - 60 = 30
So the complementary angle is 30.
4 * 30 = 120
Four times the complementary is equal to the supplementary.
Answered by
41
Answer:
54°
Step-by-step explanation:
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