Question

Find the measure of the angle ACE.

• A. $\angle ACE={105}^o$
• B. $\angle ACE={115}^o$
• C. $\angle ACE={150}^o$
• D. $\angle ACE={95}^o$

Answer 1

The correct option is A

$\angle ACE={105}^o$

Sum of angles on the line AB is 180 degrees.

Therefore,

$\angle ACE={180}^o-(\angle ECD+\angle DCB)$

$\angle ACE={180}^o-({50}^o+{25}^o)$

$\angle ACE={180}^o-{75}^o$

$\angle ACE={105}^o$