Question

The value of x in the given figure is ___________.

• A. ${20}^o$
• B. ${223}^o$
• C. ${118}^o$
• D. ${72}^o$

Answer 1

The correct option is C ${118}^o$

Lets draw line AC as shown in the figure.

It divides $\angle 48=\angle p+\angle q$ and $\angle x=\angle x1+\angle x2$

To find: $\angle x1+\angle x2$

Solution:

$x1=30+p$ (exterior angle= sum of interior opposite angles)

$x2=40+q$ (exterior angle= sum of interior opposite angles)

So,

$x1+x2=30+p+40+q=70+p+q=70+48=118$