Question

*The two angles 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

S O L U T I O N :

GIVEN

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

$\sf ✰TO\ DETERMINE✰$

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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