Answer:

1. In a certain linear pair, one angle measures twice as much as the other. What is the measure of each angle?

Show Solution...

Let the linear pair of angles be x & y.

given: one angle is two times the other

so, x = 2y

since the sum of linear pair is x + y = 180, we have

2y + y = 180

3y = 180

y = 180 = 60°

x = 2y = 2 · 60 = 120°

Answer : The required angles are 120° and 60.°

2. If two angles are supplementary and their measures are in the ratio 3:2, what are the measures of the angles?

Show Solution...

The supplementary angles are in the ratio of 3 : 2

so let us depict the angles as 3x° , 2x°

as per property, when two angles are supplementary

they add up to 180°

3x° + 2x° = 180°

5x° = 180°

x° = 36°

angle 1 = 3x° - 3 x 36° = 108°

angle 2 = 2x° = 2 x 36° = 72°

Answer : 108° and 72°

Step-by-step explanation:

I hope this helped :D

Answer:

120° and 60°

Step-by-step explanation:

The sum of a linear pair is 180° so the formula will be 2x + x = 180.

Combine the common terms.

2x + x = 3x

3x = 180

Divide both sides by 3 to get the value of x.

3x ÷ 3 = x

180 ÷ 3 = 60

x = 603

Now that we already have the x, next is get the 2x.

2x = 2 (60) = 120

To check, add the two answers and see if it's 180.

120 + 60 = 180.

-Vienna

#CarryOnLearning