Question

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

98°
98 degrees - incorrect

8°
8 degrees - no response given

278°
278 degrees - no response given

82°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees.

Given that \( m∠b = 98° \), we can find \( m∠a \) using the formula:

\[
m∠a + m∠b = 180°
\]

Substituting the value of \( m∠b \):

\[
m∠a + 98° = 180°
\]

To find \( m∠a \), subtract 98° from both sides:

\[
m∠a = 180° - 98°
\]
\[
m∠a = 82°
\]

So, the measure of angle \( a \) is \( 82° \). The correct response is **82°**.