Question

C is the intersection of $\overline{AD}$ and $\overline{BE}$ as shown in the figure above. Find the measure of $\angle BAC$.

• A. ${80}^{\circ }$
• B. ${100}^{\circ }$
• C. ${110}^{\circ }$
• D. ${115}^{\circ }$
• E. Cannot be determined from the given information

Answer 1

Answer: (B)

${100}^{\circ }$

$\angle BCA=\angle ECD={45}^0$ ......(vertically opposite angles)

Hence, $\angle BAC={180}^0-(\angle B+\angle BCA)$

$={180}^0-({35}^0+{45}^0)$

$={100}^0$