Geometry and TrigonometryMediumTriangle angles from described relationships
Geometry and Trigonometry practice question
In triangle ABC, the measure of angle A is twice the measure of angle B, and the measure of angle C is 20° more than the measure of angle B. What is the measure of angle B, in degrees?
Answer: 40
Let B = b: 2b + b + (b + 20) = 180 → 4b = 160 → b = 40.
Common wrong answers
- If you answered 60
- 60 is angle C.
- If you answered 80
- 80 is angle A.
- If you answered 53.3
- 53.3 comes from 3b + 20 = 180, dropping one of the angles.
More Geometry and Trigonometry questions
- Medium
In a 45°-45°-90° right triangle, each leg has length 5. What is the length of the hypotenuse? - Medium
A cylinder has a radius of 3 and a height of 10. What is its volume? (Use V = πr²h.) - Medium
In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length 5. What is sin θ? - Medium
Two triangles are similar with a ratio of 2 to 3. A side of the smaller triangle measures 8. What is the lengt… - Medium
What is the distance between the points (1, 2) and (4, 6) in the coordinate plane? - Medium
A circle has a radius of 6. What is the area of a sector with a central angle of 60°?
Not affiliated with the College Board. SAT is a trademark of the College Board.