Question

An exterior angle of a triangle is 115 degree and its two interior opposite angles are equal, then find the meadure of each equal angle

Answer 1

let the interior angles be x, x
so according to exterior angle property
x+x=115degree
2x=115
x=115/2
x=57.5 degrees
so both the angles are of 57.5 degrees

Answer 2

Heya..

Given:

Exterior angle of a triangle is 115° and

Two interior angles are equal.

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Let interior angle be x.

Since exterior angle of a triangle = Sum of opposite interior angles....

=) 115° = x + x

=) 115° = 2x

=) 115°/2 = x

=) 57.5° = x

Hence two angles of a triangle is 57.5°.

Third angle = 180° - 115°

(By Linear Pair)

=) 65°.

Hence angles of a triangle are 57.5°, 57.5° and 65°.

Hope it's helpful to u.