Question

I NEED HELP !! PICTURE IS UP THERE ^

Answer 1

Answer:

$\angle 1 = 99^\circ$

$\angle 3 = 99^\circ$

$\angle 4 = 81^\circ$

Step-by-step 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:

$\angle 4 = 81^\circ$

$\angle 3 = 99^\circ$