Question

The measure of a given angle is 1/4 times of its supplementary angle .Find the measure of its complementary angle​

Answer 1

Answer:

54 °

Step-by-step explanation:

given : measure of given angle = 1/4 of supplementary angle

To find : measure of complementary angle

let supplementary angle = x

given angle = 1/4 x

180 - x = 1/4 x

180 = 1/4x + x

180 = 5/4x

180 × 4/5 = x

144= x

144 = supplementary angle

The difference between the complementary and supplementary angle of a given angle is 90 °

let the complementary angle be y

144 - y = 90

y = 90 - 144

y = 54

so the measure of the complementary angle is 54

Answer 2

Answer:

upside answer is the right answer.

Step-by-step explanation:

the explanation is excellent the answer is 54.