Question

The two supplymentary angels are in the ratio of 2:3 find the angle

Answer 1

Answer:-

Given:-

Ratio of the two supplementary angles is 2:3.

To Find:-

Measurement of the angles.

__________...

We know,

Sum of supplementary angles = 180°

Let the common between the two angles be = x

∴ 1st Angle = 2x

2nd one = 3x

Sum of angles = 180°

According to the Question:-

2x + 3x = 180°

➵ 5x = 180°

➵ x = 180°/5

➵ x = 36°

∴ First angle :-

2(x) = 2(36°) = 72°

Second one:-

3(x) = 3(36°) = 108°

Verification:-

LHS:-

2x + 3x

= 72° + 108°

= 180° ...(LHS val.)

RHS:-

180° ...(RHS val.)

∴ LHS = RHS

Answer 2

Given :

• Ratio is 2:3
• Supplementary angle is 180°

To find :

• Angle

According to the question,

• Let the ratio be 2x and 3x
• Supplementary angle value is 180°

➜ 2x + 3x = 180°

➜ 5x = 180°

➜ x = 180° ÷ 5

.°. x = 36°

• First angle is 2x = 2 × 36° = 72°
• Second angle is 3x = 3 × 36° = 108°

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _....

Verification :

➜ 2x + 3x = 180°

➜ 2 × 36° + 3 × 36° = 180°

➜ 72° + 108° = 180°

➜ 180° = 180°

.°. L.H.S = R.H.S

Hence,verified....