Q. 74.4( 5 Votes )

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

Answer :

It is given that the sum of two angles of a triangle is equal to its third angle.


In the given ∆ABC,


Let A + B = C …(1)


We know that the sum of the angles of a triangle is 180°.


⇒ ∠A + B + C = 180°


⇒ ∠C + C = 180° {From (1)}


2C = 180°


⇒ ∠C = 90°


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In a triangle ABC, B = 70°. Find A + C.

Karnataka Board - Mathematics Part I