2022 · Q80
ABC is a triangle right angled at B with AC = 2BC. If ∠A = x, then what is ∠C equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- Ax/2
- B2x
- C√2x
- D√3x
Explanation
In right triangle ABC, sin(x) = opposite/hypotenuse = BC/AC = 1/2, so x = 30 degrees. Then angle C = 90 - 30 = 60 degrees, which is 2x. Hence option (b).