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

9 answers

To determine whether the two angle measurements can be supplementary, we need to check if the sum of the angles is 180 degrees.

Let's add the measure of angle A (37°) to angle B (143°):
37° + 143° = 180°

Since the sum is 180°, the two angle measurements can be supplementary.
Determine whether the two angle measurements can be supplementary if m∠A=37° and   m∠B=143° . What is the reasoning behind the answer?
To determine whether the two angle measurements can be supplementary, we need to check if the sum of the angles is 180 degrees.

Supplementary angles are two angles that add up to 180 degrees.

Let's add the measure of angle A (37°) to angle B (143°):
37° + 143° = 180°

Since the sum is 180°, the two angle measurements can be supplementary.
Use the relationship between supplementary angles ∠a


 and ∠b


. What is  m∠a if  m∠b=121° ?
The relationship between supplementary angles is that they add up to 180 degrees.

If the measure of ∠b is 121 degrees, we can find the measure of ∠a by subtracting the measure of ∠b from 180 degrees:

m∠a = 180° - m∠b
m∠a = 180° - 121°
m∠a = 59°

Therefore, the measure of ∠a is 59 degrees.
Angles a and b are supplementary angles. What is the value of  m∠a if  m∠b=43° ?
If angles a and b are supplementary angles, it means they add up to 180 degrees.

Given that m∠b = 43°, we can find the measure of m∠a by subtracting 43° from 180°:

m∠a = 180° - m∠b
m∠a = 180° - 43°
m∠a = 137°

Therefore, the value of m∠a is 137 degrees.
Last one: Use the relationship between supplementary angles to determine the value of y° if x°=125° .
If angles x and y are supplementary angles, it means they add up to 180 degrees.

Given that x° = 125°, we can find the measure of y° by subtracting 125° from 180°:

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

Therefore, the value of y° is 55 degrees.