B. Directions solve the following problems and show your solution. (5 points each)
1. in a certain linear pair, one angle measures twice as much as the other. what is the measure of each angle
2. If two angles are supplementary and their measures are in the ratio 3:2, what are the measures of the angles?
nonsense answer report
1. in a certain linear pair, one angle measures twice as much as the other. what is the measure of each angle
2. If two angles are supplementary and their measures are in the ratio 3:2, what are the measures of the angles?
nonsense answer report
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Answer:
1.) 120° and 60°
2.) 3x+2x=180⇒5x=180⇒x=36. ∴ the measures of the given angles are (3×36)∘ and (2×36)∘ i.e., 108∘ and 72∘ respectively.
Step-by-step explanation:
hope it helps^^
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 = 60
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.