Question

In a triangle with interior angles of 25°, 30°, and 35°, what is the measure of

the exterior angle adjacent to (a) 25°, (b) 30°, and (c) 35°?​

Answer 1

Answer:

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!!

Step-by-step explanation: