Help me on these please asap

1.x=45,2.x=16

Step-by-step explanation:

1.

x+90+45=180(Angles in an adjacent angle)

x=180-135

x=45

2.

7x=112(vertically opposite angle)

x=112/7

x=16

First question refers to the supplementary angle theorem.

To find x, we need to refer to the other angles around it and use it to subtract it from 180°.

90 + 45 + x = 180

135 + x = 180

x = 180 - 135

x = 45°

Second question refers to the vertical angles theorem, where it states that the angles that face in opposite directions are the same.

7x = 112

x = 112 ÷ 7

x = 16°

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

option: d is correct

step-by-step explanation: