Maths / Triangles / Angle Sum Property of a Triangle

QUESTION
 

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

OPTIONS
A. 

70^{circ}

B. 

90^{circ}

C. 

180^{circ}

D. 

60^{circ}

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

Let ABC be triangle such that

                        angleA+angleB= angleC                                                                         (i)

We know that  angleA+angleB+ angleC =180^{circ}                                                      (ii)

Putting    angleA+angleB= angleC  in (ii) we get

                angleC+ angleC= 180^{circ} rightarrow 2 angleC= 180^{circ} rightarrow angleC= 90^{circ}

Thus, measure of the third angle is of 90^{circ}.

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