Math, asked by ritikadwivedi, 1 year ago

the sum of a triangle is equal to its third angle . determine the measure of the third angle

Answers

Answered by Zaransha
1
Hey, Ritika

I guess you're asking:

"The sum of 2 angles of a triangle is equal to its third angle. Determine the measure of the third angle"

■_■

By angle sum property of triangle we know that sum of all angles of a triangle equals to 180°.

Let's say a triangle ABC,

(With asked third angle as "C")

In which according to question,
angle A + angle B = angle C ----(i)

And
By angle sum property of triangle,

Angle A + angle B + angle C = 180°

Using (i)

Angle C + angle C = 180°
2 (angle C) =180°

Angle C = 90°.

So the third angle asked here will measure 90°.
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