Question

If the angle $2x-{10}^o$ and $x-5^o$ are complementary angles,find $x$.

Answer 1

Given $2x-{10}^o$ and $x-5^o$ are complementary angles.

Then sum of them will be ${90}^o$.

So, $(2x-{10}^o)+(x-5^o)={90}^o$

or, $3x={105}^o$

or, $x={35}^o$.

The required value of $x$ is ${35}^o$.