Question

$\angle PQR$ and $\angle QOR$ form a linear pair. If $a-b=80$, find the values of a and b

• A. $a={130}^o$
• B. $a={80}^o$
• C. $b={50}^o$
• D. $b={130}^o$

Answer 1

Answer: (A), (C)

The correct options are
A $a={130}^o$
C $b={50}^o$

$As\angle PORand\angle QORformalinearpair\left(given\right)\angle POR+\angle QOR=180\left(Linearpairaxiom\right)ora+b=\mathrm{180...........}\left(1\right)Alsoa-b=\mathrm{80...........}\left(2\right)\left[Given\right]Addingequations\left(1\right)and\left(2\right),weget2a=260a=\frac{260}{2}=130Substitutingthevalueofain\left(1\right),weget130+b=180b=180-130=50Hencea=130b=50$