Question

The sum of two consecutive angles is 90°. Find the angles.

• A. ${44.5}^o$
• B. ${45.5}^o$
• C. ${46.5}^o$
• D. ${47.5}^o$

Answer 1

The correct option is C ${46.5}^o$

Given, the sum of two consecutive angles is 90°.
Let the angles be $x$ and $(x+1)°$.

Then, $x+(x+1)°=90°$
$\Rightarrow 2x+1=90°$
$\Rightarrow 2x=91°$
$\Rightarrow x=\frac{91°}{2}=45.5°$
$\Rightarrow x=45.5°$

The angles are:
$x=45.5°$
$(x+1)°=(45.5+1)°=46.5°$