In the figure below, lines a and b are parallel, and lines c and d are parallel.
What is the measure of ∠x ?
A.) 75°
B.) 95° C.) 100° D..) 105° E.) 113°
Just one way to look at it is:
The missing angle in the triangle containing the angles of 30° and 75° is equal to 75°, since angles of a triangle add up to 180° Therefore, since lines a and b are parallel, and lines c and d are also parallel, the angle to the right of ∠x is also equal to 75°. A parallelogram is formed, where opposite angles are equal. Angles in a straight line add up to 180°. Since the angle to the right of ∠x is 75°, then ∠x is equal to 105°. D.) 105° Ask Algebra House Comments are closed.

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