Answer:
C. ![x=20^{\circ}](https://tex.z-dn.net/?f=x%3D20%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so
![m\angle 6=45^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%206%3D45%5E%7B%5Ccirc%7D)
Angle 6 and angle with measure
are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then
1) tan 41°= 30cm divide by y cm
y= 30 divide by tan-1 41°
As for a specific equation, I could not say. However, I can tell you how to find x!
The first thing to remember is that a straight line has a 180 degree angle.
You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!
Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!
However, this angle does not say 146, but makes an extra line between them with x and 56. This means that x + 56 equals 146!
So we can find x by subtracting 56, from 146, which is... 90!