Question

*The two angles of a triangle are 78 ° and 82°. So what is the measure of the remaining third angle?*​

Answer 1

Answer:

20°

Explanation:

First angle of a triangle= 78°

Second angle of the triangle= 82°

Sum of all angles of a triangle= 180°

Hence,

Third angle= 180°- 78°+ 82°

= 180°- 160°

= 20°

Hope it helps you

Answer 2

SOLUTION

GIVEN

The two angles of a triangle are 78 ° and 82°.

TO DETERMINE

The measure of the remaining third angle

CONCEPT TO BE IMPLEMENTED

We know that the sum of the three sides of a triangle = 180°

EVALUATION

Here it is given that the two angles of a triangle are 78° and 82°.

Let the measure of the remaining third angle = x

We know that the sum of the three sides of a triangle = 180°

So by the given condition

x + 78° + 82° = 180°

⇒ x + 160° = 180°

⇒x = 20°

FINAL ANSWER

The measure of the remaining third angle

= 20°

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