Math, asked by naganeeraj, 1 year ago

A exterior angle of an triangle is 110degree and one of the interior opposite angles is 30degree . Find the measure of other two angles of the triangle.


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Answers

Answered by Swatishka
220
Heya!!

We know that,

Sum of the measures of the interior opposite angles= The measure of exterior angle.

So,
Let the unknown angle be x.

30°+x°=110°
x°= 110°-30°
x°=80°

So the other angle is of measure 80°.

Now,
The measure of the third angle would be 180-(80+30).

Since, sum of all the angles of a triangle is 180°.

So here's the solution:

180-(80+30)
180-110
70°

So the angles measures are as follows:
Angle 1: 30°
Angle 2: 80°
Angle 3: 70°

Hope helped!!
Answered by Keshav5318
131
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