Question

A supplement of an angle is 4 times as large as the angle’s complement. Find the measure of the angle.

Answer 1

Answer:

60 degrees

Step-by-step explanation:

Lets angle be x

Supplement angle is 180-x

Complemnt angle is 90-x

180-x=4*(90-x)

180-x=360-4x

3x=180

x=60

Angle is 60degrees

Answer 2

Answer:

Let  x  be the angle then according to the given condition,

supplement of x=4(complement of x)  

180∘−x=4(90∘−x)  

180∘−x=360∘−4x  

3x=180∘  

x=180/3  

=60∘  

hence the unknown angle ,  x=60∘  

supplement of  60∘   =180∘−60∘=120∘  

complement of  60∘   =90∘−60∘=30∘

Step-by-step explanation:

ANGLE=60°