Question

Find the measure of $\angle$2, $\angle$3 and $\angle$4 from the given figure.

[2 Marks]

Answer 1

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

$\angle$3 = 75${}^{\circ }$
(Vertically opposite angles)
[0.5 Marks]


$\angle$2 + 75${}^{\circ }$ = 180${}^{\circ }$
(Angles on a straight line forming a linear pair)
[0.5 Marks]
$\Rightarrow$ $\angle$2 = 180${}^{\circ }$- 75${}^{\circ }$ = 105${}^{\circ }$
[0.5 Marks]

And $\angle$2 = $\angle$4
(Vertically opposite angles)
$\Rightarrow$$\angle 4$ = 105°
[0.5 Marks]