Math, asked by prajwallahane4, 1 year ago

.An exterior angle of a triangle is 110° and one of the interior opposite angle is 30° find other two angles of a triangle.

Answers

Answered by mukeshahlawat345
3

Other interior opposite angle is =110-30=70


Third angle =180-110

=70 degree

Answered by aaravshrivastwa
25
It is given that,
Measure of Exterior angle = 110°
Measure of one interior opposite angle = 30°

As we know that,
Sum of two co-interior angles is equal to the opposite exterior angle.
So,
Let the second angle be x.
A/Q,
=> 30° + x = 110°
=> x = 110°-30°
=> x = 80°

So, Measure of second angle = x = 80°

Now,
Let the third angle be y.
Then,
30°+80°+y = 180° ( Sum of all angles of triangle =180°)
=> 110° +y = 180°
=> y = 180°-110°
=> y = 70°

Hence,
First angle = 30°
Second angle = x = 80°
Third angle = y = 70°

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