Question

Two supplementary angles differ by ${50}^o$. Find the measure of each angles.

Answer 1

Let a & b be two supplymentory angle then

we know that

$a+b={180}^o$...(1)

$a-b={150}^o$...(given)

$=>2a=230$

$[a={115}^o]$ & $b=180-{115}^o={65}^o$

$\therefore [\angle a^{\prime }={115}^o]$ & $[\angle b={65}^o]$