Question

Find the measure of $\angle x$.

• A. ${40}^o$
• B. ${110}^o$
• C. ${45}^o$
• D. ${65}^o$

Answer 1

The correct option is C ${45}^o$

$\angle ABE$ + $\angle ABD$ = $180$ (linear pair)

$\angle ABD$ = $70$

$\angle ABD$ + $\angle ADB$ + $\angle BAD$ = 180

$\angle BAD$ = $40$

$\angle BAC=180-25-70=85$

$\angle BAD + \angle DAC = 85$

$\angle DAC$ = \angle x$=85-40=45$