If two lines intersect and the measures of the angles formed are in the ratio 2:3, what is the measure of the larger angle?
Practice Questions
1 question
Q1
If two lines intersect and the measures of the angles formed are in the ratio 2:3, what is the measure of the larger angle?
72 degrees
108 degrees
60 degrees
90 degrees
Let the angles be 2x and 3x. Since they are supplementary, 2x + 3x = 180 degrees. Thus, 5x = 180 degrees, x = 36 degrees. The larger angle is 3x = 108 degrees.
Questions & Step-by-step Solutions
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Q
Q: If two lines intersect and the measures of the angles formed are in the ratio 2:3, what is the measure of the larger angle?
Solution: Let the angles be 2x and 3x. Since they are supplementary, 2x + 3x = 180 degrees. Thus, 5x = 180 degrees, x = 36 degrees. The larger angle is 3x = 108 degrees.
