Question

if two angles of a triangles are 100grade and (pie/5).find the third angle

Answer 1

ah , i see...

Let the third angle be x

We know that

100 grades = 90 degrees

To convert gradians to degrees the relation is

Degrees = Gradians * 0.9

∴ 100 grades = 90 degrees

The second angle = $\frac{\pi }{5}$ radians

To convert radians into degrees

Degrees = $\frac{180}{\pi }$ * (angle in radians)

∴  $\frac{\pi }{5}$ rad = $\frac{180}{\pi }$ *  $\frac{\pi }{5}$

            = 36 degrees

since, the sum of angles in a triangle = 180 degrees

∴ 90 + 36 + x = 180

x + 126 = 180

x = 180 - 126

x = 54 degrees

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I hope you get it.