Question

find the magnitude of an angle which is 10 degree less than its supplimentry angle.

Answer 1

Answer:

85° and 95°

Step-by-step explanation:

sum of two supplementary angles is 180°

let, one of the supplementary angle be = x

then the other angle = x - 10

sum of the angles

x + x - 10 = 180

2x - 10 = 180

2x = 180+10

2x = 190

x = 190÷2

x = 95

x - 10 = 95 - 10 = 85

therefore the angles are 85° and 95°

Answer 2

Answer:

x =85

Step-by-step explanation:

Let the first number be x

we know that sum of supplement angle is 180

second number will be 180 -x

so, 180-x is supplement of x

Given the number is 10 less that it's supplement angle

so,

(180 -x) -10 = x

170 =2x

x =85