Question

he sum of two angles is 80. If the ratio of the angle is 1:3, find each angle.

Answer 1

Answer:

26.6

Step-by-step explanation:

Divide the 80 / 3

Answer 2

Answer :-

• The angles are 20° and 60°.

Step-by-step explanation :

To Find :-

• The measure of each angle.

Solution :-

Given that,

• Sum of two angles = 80°
• The ratio of the angles = 1:3

Assumption: Let us assume the measure of two unknown angles given in ratio as 1x and 3x,

Therefore,

• 1x + 3x = 180°

=> 1x + 3x = 80

=> 4x = 80

=> x = 80/4

=> x = 40/2

=> x = 20

• The value of x is 20.

Now, the measure of each angles are :-

• The angle which we assumed as 1x,

=> 1x

=> 1*20

=> 20°

• The angle which we assumed as 3x

=> 3x

=> 3*20

=> 60°

Hence, The angles are 20° and 60°.

Now, Verification

• 1x + 3x = 80

We have,

• L.H.S = 1x + 3x
• R.H.S = 80

By putting the value of their angles on L.H.S, We got, 1x = 20 and 3x = 60,

=> 1x + 3x

=> 20 + 60

=> 80

Now,

• L.H.S = 80
• R.H.S = 80

So, L.H.S = R.H.S

Hence, Verified!