Applying the corresponding angles and linear pair theorems, the value of x is determined as: C. 100°.
What is the Corresponding Angles Theorem?
Two angles that lie on the same corner along a transversal on each parallel lines that the transversal cuts are regarded as corresponding angles. Thus, according to the corresponding angles theorem, these angles are congruent to each other.
What is the Linear Pair Theorem?
When two angles are on a straight line, they are considered as a linear angles pair. Thus, according to the linear pair theorem, a linear pair have a sum of 180 degrees.
From the image given, we have:
Measure of angle A = 180 - 100 = 80° [linear pair theorem]
Measure of angle B = measure of angle A = 80° [corresponding angles theorem]
Measure of angle C = measure of angle B = 80° [corresponding angles theorem]
x = 180 - measure of angle B [linear pair theorem]
x = 180 - 90
x = 100°
Thus, applying the corresponding angles and linear pair theorems, the value of x is determined as: C. 100°.
Learn more about the corresponding angles and linear pair theorems on:
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