Question

Please help me really quick pleasee
answer choices:
a)2
b)11
c)20
d)29

Answer 1

C.
`x=20^(\circ)`

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)`

Angle 6 and angle with measure
`5x+35^(\circ)` are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then

`m\angle 6+5x+35^(\circ)=180^(\circ)\\ \\45^(\circ)+5x+35^(\circ)=180^(\circ)\\ \\5x=180^(\circ)-45^(\circ)-35^(\circ)\\ \\5x=100^(\circ)\\ \\x=20^(\circ)`