Question

Two angles of a triangle are of measures 75° and 35°, Find the measure of
the third angle.

Answer 1

Solution :-

Given ,

• Angle 1 = 75°
• Angle 2 = 35°

We need to find ,

• Angle 3 = ?

Let us take a triangle of angles 1 , 2 & 3

Now , finding third angle using " angle sum property "

• Angle sum property :- Sum of all angles in a triangle is equal to 180°

So here ,

• ∠1 + ∠2 + ∠3 = 180°

Substituting ,

• ∠1 = 75°
• ∠2 = 35°

[ °.° Given ]

⇒ 75° + 35° + ∠3 = 180°

⇒ 110° + ∠3 = 180°

⇒ ∠3 = 180° - 110°

⇒ ∠3 = 70°

Hence , the measure of third angle is 70°

Answer 2

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Given :

Two angles of a triangle are 75° and 35°.

To Find :

Measure of third angle.

Solution :

=> ∠A + ∠B + ∠C = 180°

=> 75° + 35° + x = 180°

=> 110° + x = 180°

=> x = 180° - 110°

=> x = 70°

So , the measure of 3rd angle is 70°