The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. State whether the statement is true or false.

Solution:

Given, the measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles.

We have to determine if the given statement is true or false.

Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

Therefore, the given statement is true.

✦ Try This: An isosceles triangle has two equal sides and two equal angles. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 11

The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. State whether the statement is true or false

Summary:

The given statement,”The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles” is true

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