Solve the problem.
-Find the measure of angle 5 in the figure shown.
A) 60°
B) 70°
C) 50°
D) 40°

Question

Solve the problem.
-Find the measure of angle 5 in the figure shown. 
A) 60° 
B) 70° 
C) 50° 
D) 40°

Quizplus · Accepted Answer

Since angles 1 and 2 are equal, they must each measure (180-132)/2 = 24 degrees.
Angle 3 is a straight angle, so it measures 180 degrees.
Since angles 3 and 4 are supplementary, angle 4 must measure 180-92 = 88 degrees.
Since angles 4 and 5 are equal, angle 5 must also measure 88 degrees.
Therefore, the answer is C) 50°. Since angle 1 and angle 2 are vertical angles and are congruent, we can find angle 2 to be 110°. Since angle 2 and angle 3 form a straight line, we can find angle 3 to be 70°. Since angle 3 and angle 4 are alternate interior angles and are congruent, we can find angle 4 to be 70°. Finally, since angles 4 and 5 form a straight line, we can find angle 5 to be 110° - 70° = 40°. Therefore, the answer is choice C, 40°.

Solve the Problem. -Find the Measure of Angle 5 in the Figure Shown