Determine whether the two angle measurements can be supplementary if m∠A=37° and m∠B=143° . What is the reasoning behind the answer?

(1 point)
Responses

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 180°.
No, they do not add up to 180 degrees .

No, they are not adjacent.
No, they are not adjacent.

No, they do not add up to 90°.

No, they do not add up to 180°.

The definition of supplementary angles is that they add up to 180°. In this case, 37° + 143° = 180°, so the two angles are indeed supplementary.

Are the angles supplementary if m∠A=98° and m∠B=88° ?

(1 point)
Responses

No, they do not add up to 90°.
No, they do not add up to 90 degrees .

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 180°.
No, they do not add up to 180 degrees .

No, they are not adjacent.
No, they are not adjacent.
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No, they do not add up to 180°.

The definition of supplementary angles is that they add up to 180°. In this case, 98° + 88° = 186°, so the two angles are not supplementary.

Use the relationship between supplementary angles ∠a

and ∠b
. What is m∠a if m∠b=121° ?(1 point)
Responses

59°
59 degrees

121°
121 degrees

31°
31 degrees

301°

Since supplementary angles add up to 180°, if m∠b = 121°, then m∠a = 180° - 121° = 59°.

Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43° ?(1 point)

Responses

223°
223 degrees

137°
137 degrees

43°
43 degrees

47°

Since supplementary angles add up to 180°, if m∠b = 43°, then m∠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° .

Since supplementary angles add up to 180°, if x° = 125°, then the other angle (y°) is given by:

y° = 180° - x°
y° = 180° - 125°
y° = 55°

Therefore, the value of y° is 55°.