Question

Two angles of a triangle measure 64 and 48. which of the following is the measure of the largest exterior angle of the triangle

Answer 1

Given - The two angle of a triangle are 64° and 48°.

Find out the angles which measure the largest exterior angle.

To proof -

first find the third angle of the triangle.

as we know the total sum of a triangle is 180°

let assume that theunknow angle be x.

x + 64°+ 48° = 180°

x = 180° - 112°

x = 68°

by exterior angle property

As exterior angle of a triangle is the sum of the opposite interior angle.

thus the angles are 68° and 64° which gives the largest exterior angle of the triangle.

largest exterior angle = 68° + 64°

= 132°

Explanation:

Answer 2

Given - The two angle of a triangle are 64° and 48°.

Find out the angles which measure the largest exterior angle.

To proof -

first find the third angle of the triangle.

as we know the total sum of a triangle is 180°

let assume that theunknow angle be x.

x + 64°+ 48° = 180°

x = 180° - 112°

x = 68°

by exterior angle property

As exterior angle of a triangle is the sum of the opposite interior angle.

thus the angles are 68° and 64° which gives the largest exterior angle of the triangle.

largest exterior angle = 68° + 64°

= 132°

Hence proved