Question

7.An exterior angle of a triangle is 110° and its two interior opposite angles are equal.Find each

of these two angles.

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Answer 1

Answer:

Given :-

• One exterior angle of triangle is 110⁰

To Find :-

Other two angles

Solution :-

The sum of all exterior angle of triangle is 180⁰.

Two sides are equal

Let the two angle be x

$\tt \: x + x + 110 = 180$

$\tt \: 2x + 110 = 180$

$\tt \: 2x = 180 - 110$

$\tt \: 2x = 70$

$\tt \: x = \frac{70}{2}$

$\tt \: x = 35$

Measure of other two angle are 35⁰.