Answer:
x=11
z=88
Step-by-step explanation:
Solving for x:
We know that the angle on the left is 92. When there are perpendicular lines creating the angles, opposite angles are equal. So, we have:
6x+26=92
6x+26-26=92-26
6x=66
6x÷6=66÷6
x=11
Solving for z:
We know that when there are four adjacent angles created by perpendicular lines, the angles all add up to 360°. This means that we can subtract 92•2 from 360.
360-92•2
360-184
176
We can then divide this number by 2.
176÷2
88
This means that z=88.