Question

es of a triangle are 78 ° and 82°. So what is the measure of the remaining third angle?* 1️⃣ 160° 2️⃣ 20° 3️⃣ 360° 4️⃣ 180°

Answer 1

Answer :

Option 2

20°

Given :

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

To find :

Find the remaining third angle of the triangle ?

Solution :

Given that :

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

The first angle of the triangle = 78°

The second angle of the triangle = 82°

Let the third angle of the triangle be X°

We know that

The sum of all angles in a triangle = 180°

=> 78° + 82° + X° = 180°

=> 160° + X° = 180°

=> X° = 180° -160°

=> X° = 20°

Therefore, X° = 20°

The third angle = 20°

Answer :-

The remaining third angle of the given triangle is 20°

Used formulae:-

Angle Sum Property:

The sum of all angles in a triangle is 180° or 2 right angles.