Question

The sum of two adjacent angles is 110°. If one of them is 40° less than the other, find
the angles.
Two adjacent angles add up to 150°. One is five times the other. Find the angles.​

Answer 1

${\huge{ \underline {\underline {\rm{Question:}}}}}$

The sum of two adjacent angles is 110°. If one of them is 40° less than the other, find the angles.

$\huge \color{red}\overline \color{red} \underline {\color{yellow}{\fcolorbox{red}{cyan} {\tt{Answer}}}}$

Let the angle be x

Given sum= 110°

One angle=40°

According to question:

x+40°=110°

x=110°-40

x=90°

$\huge {\underline {\underline {\rm {Question:}}}}$

Two adjacent angles add up to 150°. One is five times the other. Find the angles.

$\huge \color{red}\overline \color{red} \underline {\color{yellow}{\fcolorbox{red}{cyan} {\tt{Answer}}}}$

Let the angle be x

Other angle=5x

Given Sum=150°

According to question:

x+5x=150°

6x=150°

$\large \sf \: x = \frac{150}{6} = 25$

First angle=x=25°

Other angle=5x=5×25=125°

${\underline{❥ʜᴏᴘᴇ \: ɪᴛ \: ʜᴇʟᴘs \: ʏᴏᴜ.....}}$