Question

The measure of an angle is eight times the measure of its complementary angle.

Then, measure of that angle is
A. 20° B. 160° C. 10° D. 80°​

Answer 1

let the complement be x.

angle =8x

x+8x=90

9x=90

x=10°

angle=8x=8×10=80°

option D is correct

Answer 2

Answer:

let a complementary angle is= x

times is mesure=8x

then,

according to the question

the sum of one complementary angle is = 90

then,

x+8x=90

9x=90

x=90/9

x=10

then,

according to the question =

the angle is =8x

8×10=80

the answer is =80

option D is write