pleaseee please help. I give medallss!!!
If lines f and g are parallel, the measure of angle R equals two x plus one and the measure of angle T equals three x minus sixty-six, what is the measure of angle X?

Two parallel lines, f and g, are intersected by transversal t. Angles where f and t intersect are labeled R, S,T, and U. The corresponding angles where g and t intersect are labeled V, W, X, and Y.

forty-five degrees

sixty-seven degrees

ninety-nine degrees

one hundred thirty-five degrees

Question

pleaseee please help. I give medallss!!!
If lines f and g are parallel, the measure of angle R equals two x plus one and the measure of angle T equals three x minus sixty-six, what is the measure of angle X?

Two parallel lines, f and g, are intersected by transversal t. Angles where f and t intersect are labeled R, S,T, and U. The corresponding angles where g and t intersect are labeled V, W, X, and Y.

 forty-five degrees

 sixty-seven degrees

 ninety-nine degrees

 one hundred thirty-five degrees

anonymous · Answer

attachment

anonymous · Answer

m<R = 2x + 1
m<T = 3x - 66

we know that <R is vertical to <T
vertical angles are congruent
2x + 1 = 3x - 66
2x = 3x - 67
-x = -67
x = 67

angle <X is an opposite exterior angle to <R
m<R = 2x + 1
 = 2(67) + 1
 = 134 + 1 = 135
opposite ext angles are congruent
m<X = 135

anonymous · Answer

thank you, I atchually understand it now, really thnk you!! <3 :)  @absurdism

anonymous · Answer

no problem. :)