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)
The two angles that correspond to a supplementary pair are 68° and 112°.
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)
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.
Angles j and k are supplementary angles. What is m∠k if m∠j = 34° ?(1 point)
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°.
Use the relationship between supplementary angles ∠a and ∠b. What is m∠a if m∠b=121° ?(1 point)
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°.
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43° ?(1 point)
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°.