Question

In the above figure, the measure of $\angle ACD$ is:

• A. ${125}^o$
• B. ${120}^o$
• C. ${105}^o$
• D. ${115}^o$

Answer 1

Answer: (D)

${115}^o$

In figure $\angle ABC=65$ .$\angle ACB=65$ and $\angle ADC=30$

In figure $ACD$ is a straight line then

$\angle ACB+\angle ACD={180}^o$

$\Rightarrow {65}^o+\angle ACD=180$

$\Rightarrow \angle ACD=180-65={115}^o$