Question

if one angle is equal to four times of its complement. Find the angle

Answer 1

if  x is the angle, its complement will be (90-x),

because they have to add up to 90, and here x + (90 -x) = 90

 

here in the question, x is equal to 4 times of its complement, so we have

 

x = 4 * (90 - x) --> x = 360 - 4x --> 5x = 360 --> x = 360/5  --> x = 72

 if  x is the angle, its complement will be (90-x),

because they have to add up to 90, and here x + (90 -x) = 90

 

here in the question, x is equal to 4 times of its complement, so we have

 

x = 4 * (90 - x) --> x = 360 - 4x --> 5x = 360 --> x = 360/5  --> x = 72

 

 



 

Answer 2

Sum of Measure of complementary angles is 90.
By taking the complementary angle as 'x'.
By given condition
4x+1x=90
5x=90
x=90÷5
x=18
But angle is 4 times complementary. Hence angle=18*4= 72