Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
Question
An angle which is half of its supplement is of __________.
✓
Answer
An angle which is half of its supplement is of $60^\circ .$ Solution: Let the required angle be $x.$
Then, its supplement will be $(180^\circ - x)$.
It is given that $x$ is the half of it supplement i.e. $(180^\circ - x).$
Therefoer, $\text{x}\frac{1}{2}(180^\circ-\text{x})$
$\Rightarrow2\text{x}=180^\circ-\text{x}$
$\Rightarrow2\text{x}+\text{x}=180^\circ$
$\Rightarrow3\text{x}=180^\circ$
$\Rightarrow\text{x}=\frac{180^\circ}{3}$
$\Rightarrow\text{x}=60^\circ$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.