1 Answer

Mleykamp · Answer 1 · 2022-02-18T11:40:10+0000

Answer:

$\angle 1 = 99^\circ$

$\angle 3 = 99^\circ$

$\angle 4 = 81^\circ$

Explanation:

Given

$\angle 2 = 81^\circ$

Required

Determine:
$\angle 1 . \angle 3 , \angle 4$

Solving for
$\angle 1$ , we have:

$\angle 2 + \angle 1 = 180^\circ$ --- angle on a straight line

So, we have:

$\angle 1 = 180^\circ-\angle 2$

$\angle 1 = 180^\circ-81^\circ$

$\angle 1 = 99^\circ$

To solve for
$\angle 3, \angle 4$ , we have:

$\angle 3 = \angle 1$

$\angle 4 = \angle 2$ --- Vertically opposite angles

So:

$\angle 4 = 81^\circ$

$\angle 3 = 99^\circ$

Please log in or register to add a comment.