Use the relationship between supplementary angles ∠a and ∠b . What is m∠a if m∠b=121°?(1 point) Responses 31° 31 degrees 301° 301 degrees 59° 59 degrees 121° 121 degrees
If ∠a and ∠b are supplementary angles, the sum of their measures is 180°. Since m∠b = 121°, we can substitute this value into the equation:
m∠a + 121° = 180°
To find m∠a, we need to isolate the variable. We can do this by subtracting 121° from both sides:
m∠a + 121° - 121° = 180° - 121°
m∠a = 59°
Therefore, m∠a is 59°.
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43°?(1 point) Responses 43° 43 degrees 47° 47 degrees 137° 137 degrees 223° 223 degrees
If ∠a and ∠b are supplementary angles, the sum of their measures is 180°.
Since m∠b = 43°, we can substitute this value into the equation:
m∠a + 43° = 180°
To find the value of m∠a, we need to isolate the variable. We can do this by subtracting 43° from both sides:
m∠a + 43° - 43° = 180° - 43°
m∠a = 137°
Therefore, the value of m∠a is 137°.