AlgebraMediumSupplementary angles with a described relationship
Algebra practice question
Two angles are supplementary. The measure of one angle is 30° more than twice the measure of the other. What is the measure, in degrees, of the smaller angle?
Answer: 50
Let the smaller be x: x + (2x + 30) = 180 → 3x = 150 → x = 50 (the other is 130).
Common wrong answers
- If you answered 20
- 20 comes from x + 2x + 30 = 90, using complementary angles.
- If you answered 75
- 75 comes from 2x + 30 = 180 alone.
- If you answered 130
- 130 is the larger angle.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.