Question

Angles a and b are supplementary angles. What is m∠a if m∠b=98° ?(1 point)
Responses

278°
278 degrees

8°
8 degrees

82°
82 degrees

98°

Answer 1

Supplementary angles are two angles that add up to 180 degrees. If \( m∠b = 98° \), then to find \( m∠a \), you can use the following equation:

\[
m∠a + m∠b = 180°
\]

Substituting the given value:

\[
m∠a + 98° = 180°
\]

Now, subtract 98° from both sides:

\[
m∠a = 180° - 98° = 82°
\]

So, \( m∠a = 82° \).

The correct response is **82°**.