Question

Two lines intersect and two of the vertical angles measure 37°. What is the measure of the other two vertical angles?

37°
74°
90°
143°

Answer 1

if 2 of the vertical angles measure 37, then the other 2 would measure (180 - 37) = 143

Answer 2

Option D 143°

Explanation:

If two lines AB and CD intersect each other at a point O.

Then vertical angle formed ∠AOC = ∠DOB = 37°

Similarly other two vertical angles will be supplementary to these angles.

Since ∠AOC + ∠COB = 180°

∠COB + 37° = 180°

∠CDB = 180 - 37 = 143°

Option D 143° is the answer.