Question

The supplement of an angle measures 15 more than four times its complement . Find the measure of the angle .

Answer 1

a = angle.
x = complement.
4x + 15 = supplement.
a + x = 90
a + 4x + 15 = 180
180 - 90 = 90 so
a + 4x + 15 - a - x = 90
3x + 15 = 90 (a cancels out and 4x becomes 3x after subtration)
3x = 75 (subtracting 15 from both sides)
x = 25 (dividing both sides by 3)
if x = 25, then a = 65 because 65 + 25 = 90.
if x = 25, then 4x + 15 = 115 + a = 180, so a = 65 again because 65 + 115 = 180.
angle is 65 degrees.

Answer 2

Let x be the angle. -->

Supplementary angles total 180.

The supplement of x is 180 - x. -->

Complementary angles total 90.

The complement of x is 90 - x. -->

Answer 3

Let x be the angle.
The supplement of x is 180 - x.
The complement of x is 90 - x.

Answer 4

The supplement of an angle measures 15 more than four times its complement .
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Translate above words to symbols.

(supplement of an angle) is 15 (more than) (four times its complement)

180 - x = 15 + 4( 90 - x) ---> Solve this for x.

@janhell123

Answer 5

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