Math, asked by tejpal2880, 26 days ago

Find the angle which is three- fifth of it's supplement?

Answers

Answered by jitendra12iitg
0

Answer:

The answer is 67.5^\circ

Step-by-step explanation:

Let x be the required angle

So its supplement angle is 180^\circ-x

Given x is 3/5th of 180^\circ-x

  \Rightarrow x=\dfrac{3}{5}(180^\circ-x)

\Rightarrow 5x=540^\circ-3x\\\Rightarrow 5x+3x=540^\circ\\\Rightarrow 8x=540^\circ\\\Rightarrow x=\frac{540^\circ}{8}=\frac{135^\circ}{2}=67.5^\circ

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