Question

Find the value of x in given figure. where $AB\parallel CD$ and EF is a transversal.

• A. ${45}^o$
• B. ${65}^o$
• C. ${75}^o$
• D. ${55}^o$

Answer 1

Answer: (D)

${55}^o$

As angle (x+5) and (2x+10) are co interior angle
and $AB\parallel CD$
$\therefore (x+5)+(2x+10)={180}^o$ (sum of co-interior angle is ${180}^o$)
$3x+15={180}^o$
$3x={165}^o$
$x=\frac{165}{3}={55}^o$