Question

answer correctly please​

Answer 1

Answer:

An angle is one fifth of it's supplement .

let the angle be x

x = 90-x × ⅕

x = 90-x/5

5x = 90 - x

5x + x = 90

6x = 90

x = 90/6

x = 15

Therefore the measure of the angle is 15°

If the measure of an angle is 20° then the measure of it supplement is ?

measure of angle = 20°

let is supplement be y

y + 20 = 180°

y = 180-20

y = 160°

therefore the answer is 160°

Answer 2

Question given :

• An angle is one fifth of its supplement . The measure of the angle is

1. 15°
2. 30°
3. 75°
4. 150°

• If the measure of an angle is 20° then the measure of its supplement is

1. 90°
2. 120°
3. 140°
4. 160°

Required solution:

Answer 1 :

We know that supplement = 180°

So let the one angle be x

If the angle is x then it's supplement would be ( 180 - x )°

According to the statement we have ,

• x = $\sf\dfrac{180\:-\:x}{5}$

• Note that the angle was one fifth of its supplement

• 5x = 180 - x

• Cross multiply five with x

• 5x + x = 180

• Interchange the position of x to LHS

• 6x = 180

• Divide 180 by 6 to get the value of x

• x = $\sf\dfrac{180}{6}$

• x = 30°

So one angle is 30° and the other angle is

• 180 - x
• 180 - 30
• 150°

Answer 2 :

Let us assume the angle as x

The supplement of that angle would be ( 180 - x )

Given is that an angle is 20 more than its supplement that is ,

• x = ( 180 - x ) + 20
• x = 180 - x + 20
• x + x = 180 + 20
• 2x = 200
• x = $\sf\dfrac{200}{2}$
• x = 100°

Verification :

If the angle is 100 then it's supplement would be 180 - 100 that gives us 80° .

Also 100 is 20 more than 80 hence proved