Question

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

98°
98 degrees

278°
278 degrees

8°
8 degrees

82°

Answer 1

Supplementary angles are angles whose measures add up to 180 degrees. Given that \( m∠b = 98^\circ \), we can find \( m∠a \) using the formula:

\[
m∠a + m∠b = 180^\circ
\]

Substituting \( m∠b \):

\[
m∠a + 98^\circ = 180^\circ
\]

Now, subtracting 98 degrees from both sides:

\[
m∠a = 180^\circ - 98^\circ = 82^\circ
\]

Therefore, \( m∠a = 82^\circ \).

The correct response is **82°**.