Question

*The two angles of a triangle are 40° and 60° respectively, so what is the measure of the remaining angle?*

1️⃣ 100°
2️⃣ 80°
3️⃣ 60°
4️⃣ 140°​

Answer 1

Answer:

As we know sum of three angles of triangle=180

Step-by-step explanation:

therefore,40+60+x=180

100+x=180

180-100=x

80=x

therefore, remaining angle=80

Answer 2

Answer:

The remaining angle is 80°. So, option 2) 80° is the correct answer.

Given :

• The two angles of a triangle are 40° and 60°.

To calculate :

• The measure of remaining angle.

Calculation :

As we know that,

• Sum of all angles in a triangle = 180°

So, let's assume the angles as :-

• ∠A = 40°
• ∠B = 60°
• ∠C = x

Substituting values,

→ ∠A + ∠B + ∠C = 180°

→ 40° + 60° + ∠C = 180°

→ 100° + ∠C = 180°

→ ∠C = 180° - 100°

→ ∠C = 80°

Therefore, the remaining angle is 80°.

V E R I F I C A T I O N :

So, let us check our answer whether it's summing up to 180° or not!

→ ∠A + ∠B + ∠C = 180°

→ 40° + 60° + 80° = 180°

→ 180° = 180°

∴ L.H.S = R.H.S

Hence, verified!

Abbreviations used :-

• L.H.S means Left hand side
• R.H.S means Right hand side