Use the image to answer the question.

Question

A horizontal line and a line slanting slightly upwards from left to right are intersected by a nearly vertical line. The supplementary angles formed above the point of intersection with the nearly vertical line and the horizontal line are an unlabeled angle and an angle labeled A. Angle A is on the right and is slightly greater than 90 degrees. The supplementary angles formed above the point of intersection with the nearly vertical line and the other line running left to right are an unlabeled angle and an angle labeled B. Angle B is on the left and is slightly less than 90 degrees.

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

responses:

no they are not adjacent

no they do not add up to 180

no they do not add up to 90

yes they are a supplementary pair

Answer 1

No they do not add up to 180

Answer 2

Use the relationship between supplementary angles ∠a and ∠b . What is m∠a if m∠b=121° ?

301°
31°
121°
59°

Answer 3

If ∠a and ∠b are supplementary angles, it means that the sum of their measures is 180 degrees.

Since we know that m∠b = 121°, we can substitute this value into the equation:

m∠a + m∠b = 180°

m∠a + 121° = 180°

Subtracting 121° from both sides of the equation, we have:

m∠a = 180° - 121°

m∠a = 59°

Therefore, m∠a is 59°.

Answer 4

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

233°
47°
43°
137°

Answer 5

If angles a and b are supplementary angles, it means that the sum of their measures is 180 degrees.

Since we know that m∠b = 43°, we can substitute this value into the equation:

m∠a + m∠b = 180°

m∠a + 43° = 180°

Subtracting 43° from both sides of the equation, we have:

m∠a = 180° - 43°

m∠a = 137°

Therefore, the value of m∠a is 137°.

Answer 6

Use the image to answer the question.

An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.

Use the relationship between supplementary angles to determine the value of y° if x°=125° .

55°
125°
305°
35°

Answer 7

Since the angles formed by the intersection of the lines are supplementary, that means the sum of their measures is 180 degrees.

We know that x° = 125°.

So, if we let the measure of the angle at the top right be y°, then we can set up the equation:

x° + y° = 180°

Substituting the given value, we have:

125° + y° = 180°

Subtracting 125° from both sides of the equation, we have:

y° = 180° - 125°

y° = 55°

Therefore, the value of y° is 55°.