If m∠4=31°, what is m∠2?

Question

A. 180
B. 58
C. 31
D. 90

Answer 1

If m∠4 = 31°, we know that m∠4 + m∠2 = 180° (because angle 2 and angle 4 are supplementary angles).

Substituting in the given value, we get 31° + m∠2 = 180°.

Subtracting 31° from both sides, we get m∠2 = 180° - 31°.

Therefore, m∠2 = 149° (rounded to the nearest whole number).

The answer is not given in the options, suggesting that there may be a mistake in the question.