Question

The measures of $\angle$2 and $\angle$3 from the given figure are and respectively.

• A. 75${}^{\circ }$
• B. 105${}^{\circ }$
• C. 85${}^{\circ }$
• D. 95${}^{\circ }$

Answer 1

Answer: (A), (B)

105${}^{\circ }$

From the figure given in the question, we can observe that

$\angle$3 = 75${}^{\circ }$
(Vertically opposite angles)

$\angle$2 +75${}^{\circ }$ = 180${}^{\circ }$
(Angles on a straight line)
$\Rightarrow$ $\angle$2 = 180${}^{\circ }$- 75${}^{\circ }$ = 105${}^{\circ }$

$\angle$2 = $\angle$4
(Vertically opposite angles)
$\Rightarrow$$\angle 4$ = 105°