Question

An exterior angle of a triangle is of measure 70 degree and one of its interior opposite angles is of measure 25 degree. Find the measure of the other interior opposite angle.
A) 35°
B) 45°
C) 65°
D)75°

Answer 1

Answer :-

Option (B) 45°

Explanation :-

Given :

• Exterior angle of triangle = 70°

• One of its interior opposite angles = 25°

To Find :

• Other interior angle.

Solution :

Let, the other interior angle of triangle be x.

We know that,

According to Exterior Angle Property of triangles,

The sum of the two opposite interior angles of triangles is equal the measure of exterior angle.

So,

➞ 25° + x° = 70°

➞ x° = 70° - 25°

➞ x = 45°

Hence, The other interior angle is 45°

So, Your Answer = Option (B) 45 degrees.

Answer 2

Correct Question-:

• An exterior angle of a triangle is of measure 70 degree and one of its interior opposite angles is of measure 25 degree. Find the measure of the other interior oppoosite angle.

AnswEr -:

• The option B is correct.
• The other interior opposite angle is of 45⁰ .

Given,

• An exterior angle of a triangle is of measure 70 degree .
• Its interior opposite angles is of measure 25 degree.

To Find ,

• Measure of other interior opposite angle .

Solution,

Let the other interior angle be x .

$\sf{\rightarrow { x + 25⁰ = 70⁰}}$ [ Exterior Angle sum Property of triangle ]

$\sf{\rightarrow { x = 70-25}}$

$\sf{\rightarrow { x = 45⁰}}$

Therefore ,

• The other interior opposite angle is of 45⁰

Hence ,

• The option B is correct.

☆ Let's Explore................

● Exterior angle sum Property of Triangle -:

》 The sum of measures of two opposite interior angles of triangles is equal to the measure of Exterior angle .

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