Angles a

Question

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

98°
98 degrees

8°
8 degrees

82°
82 degrees

278°

Answer 1

Supplementary angles add up to 180 degrees. If \( m∠b = 98° \), then 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:

\[ m∠a = 180° - 98° = 82° \]

Therefore, \( m∠a = 82° \).

The correct response is:

82° (82 degrees)