Question

Enter the number that belongs in the green box. x = [? ] y = [ ]

Answer 1

Answer:

x = [96°]

y = [ 84°]

Step-by-step explanation:

These are two straight lines that intersect to create vertical angles.

Recall that vertical angles are congruent.

Therefore:

$y = 84 \degree$

Also recall that angles on a straight line add up to 180.

This implies that:

$x + 84 = 180$

Subbtract 84 from both sides to get:

$y = 180 - 84$

$y = 96 \degree$