Question

(i) find the angle which is one-fifth of its complement . (ii) two angles measures (30 degree - x ) and ( 125 degree + 2x). if each angle is the supplementary of the other, find the angles .​

Answer 1

Answer:

1. 18 , 2. 175,5

Step-by-step explanation:1/5*90=18

two angels are supplementry angels then sum of the angels is 180

A+B=180

(30-x)+(125+2x)=180

155+x=180

X=25,

30-25=5

125+(2*25)

125+50=175

So two angles are 175 and 5

Answer 2

Answer:

1. 15 2. 175 and 5

Step-by-step explanation:

1. let the angle be x and so it's compliment be (90 - x ). According to the question , x = 1/5 ( 90 - x ). this is the equation, once you solve it you will get 15 degree.

as for the second question,

( 30 - x ) + ( 125 + 2x ) = 180

30 - x + 125 + 2x = 180

x = 180 - 155

× = 25

so the first angle = ( 30 - x) = 30 - 25 = 5 degree

and the second angle = ( 125 + 2x ) = 125 +50 = 175 degree