Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43°? (1 point)

Question

A. 43°

B. 47°

C. 223°

D. 137°

Answer 1

Supplementary angles are two angles whose measures add up to 180°. Since you have m∠b = 43°, you can find m∠a using the following equation:

m∠a + m∠b = 180°

Substituting the value of m∠b:

m∠a + 43° = 180°

Now, subtract 43° from both sides:

m∠a = 180° - 43° m∠a = 137°

So, the value of m∠a is 137°.

The correct answer is D. 137°.