Determine whether the two angle measurements can be supplementary if m∠A=37° and m∠B=143°. What is the reasoning behind the answer?
Responses
No, they do not add up to 90°
No, they do not add up to 180°
No, they are not adjacent.
Yes, they are a supplementary pair.
No, they do not add up to 180°. This is because supplementary angles are two angles that add up to 180°. In this case, the measure of angle A is 37° and the measure of angle B is 143°, which sum to 180°. Therefore, the two angles can be supplementary.
Use the relationship between supplementary angles ∠a and ∠b . What is m∠a if m∠b=121°?
Responses
121°
301°
59°
31°
If two angles are supplementary, their measures add up to 180°. In this case, if m∠b is 121°, then ∠a + 121° = 180°. To find the measure of ∠a, we can subtract 121° from both sides of the equation: ∠a = 180° - 121° = 59°. Therefore, m∠a is 59°.
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43°?
Responses
223°
47°
137°
43°
If two angles are supplementary, their measures add up to 180°. In this case, if m∠b is 43°, then m∠a + 43° = 180°. To find the measure of ∠a, we can subtract 43° from both sides of the equation: ∠a = 180° - 43° = 137°. Therefore, the value of m∠a is 137°.
Use the relationship between supplementary angles to determine the value of y° if x°=125°. (1 point) Responses
305°
125°
55°
35°