Select the correct answer. in the figure, lines m and n are parallel to each other. lines p and q are also parallel to each other. what is the value of x? (look at the picture) a. 40° b. 80° c. 100° d. 180°

the answer is C. 100°

Step-by-step explanation:

The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°

then A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n  in the same way. the value of the angles B is 80° too.

Angles B and C are corresponding too, so the value of the angle C is 80°.

Finally angles C and X are supplementary too for which the sum of X and C (80°) is 180°, so the value of X is 100°