Question

Find the meassure of angle DCE.

• A. $\angle DCE={75}^o$
• B. $\angle DCE={30}^o$
• C. $\angle DCE={55}^o$
• D. $\angle DCE={115}^o$

Answer 1

The correct option is B

$\angle DCE={30}^o$

Sum of angles on the line AB is 180 degrees.

Therefore,

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

$\angle DCE={180}^o-({90}^o+{60}^o)$

$\angle DCE={180}^o-{150}^o$

$\angle DCE={30}^o$