Question

the sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle​

Answer 1

Answer:

The measure of third angle is 90°

Step-by-step explanation:

Angle A + Angle B = Angle C

Now,

Angle A + Angle B + Angle C = 180°

Angle C + Angle C = 180°

2 Angle C = 180°

Angle C = 180°/2

Angle C = 90°

Hope it helps you...

Answer 2

GivEn:

• Sum of two angles of traingle is equal to its third angle.

To finD:

• Measures of third angle of triangle.

Explanation:

Let suppose that triangle is PQR.

Now,

According to the given condition:

∠ A + ∠B = ∠C •••( given sum of two angles is equal to third angle)

As we know :

According to Angle sum property of triangle, ∠A+ ∠B+∠C = 180°.

Hence,

∠A+ ∠B = ∠C ••••( where A + B + C = 180°)

=> ∠C + ∠C = 180° ••••( A + B = C )

=> 2∠C = 180°

=> ∠C = 180°/2

=> ∠C = 90°

Hence,

Third angle of triangle is 90°

So,

$\large{\boxed{\tt{\green{ ∠C =\: 90°}}}}$