Question

A geometric figure has angles with the following measurements: 89°, 135°, 112°, 68°. Which two angle measures correspond to a supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The two angles that correspond to a supplementary pair are 68° and 112°.

Answer 2

A geometric figure has angles with the following measurements: 75°, 103°, 86°, 94°. Which two angle measures correspond to a supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second.(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

There are no pair of angles in the given list that add up to 180°, so there are no angles that correspond to a supplementary pair.

Answer 4

Angles j and k are supplementary angles. What is m∠k if m∠j = 34° ?(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

If angles j and k are supplementary, it means that they add up to 180°.

Let's represent the measure of angle k as m∠k.

Given that m∠j = 34°, we can set up an equation:

m∠j + m∠k = 180°

Substituting in the value for m∠j:

34° + m∠k = 180°

To solve for m∠k, we subtract 34° from both sides:

m∠k = 180° - 34°

m∠k = 146°

Therefore, the measure of angle k (m∠k) is 146°.

Answer 6

Use the relationship between supplementary angles ∠a and ∠b. What is m∠a if m∠b=121° ?(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

If angles a and b are supplementary, it means that they add up to 180°.

Let's represent the measure of angle a as m∠a.

Given that m∠b = 121°, we can set up an equation:

m∠a + m∠b = 180°

Substituting in the value for m∠b:

m∠a + 121° = 180°

To solve for m∠a, we subtract 121° from both sides:

m∠a = 180° - 121°

m∠a = 59°

Therefore, the measure of angle a (m∠a) is 59°.

Answer 8

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

Answer 9

[AI-generated answer — Bot GPT 3.5]

If angles a and b are supplementary, it means that they add up to 180°.

Let's represent the measure of angle a as m∠a.

Given that m∠b = 43°, we can set up an equation:

m∠a + m∠b = 180°

Substituting in the value for m∠b:

m∠a + 43° = 180°

To solve for m∠a, we subtract 43° from both sides:

m∠a = 180° - 43°

m∠a = 137°

Therefore, the measure of angle a (m∠a) is 137°.