If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)
Practice Questions
1 question
Q1
If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)
30 degrees and 60 degrees
45 degrees and 135 degrees
90 degrees and 90 degrees
40 degrees and 140 degrees
Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)
Solution: Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.
