The GATE Grind

GATE 2018 CS – Question 9

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

In the figure below, $\angle DEC+\angle BFC$ is equal to ________. (The four options are given in terms of the angles marked in the figure.)

Diagram for GATE 2018 CS question 9
  1. Option (A) in the figure
  2. Option (B) in the figure
  3. Option (C) in the figure
  4. Option (D) in the figure

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) Option (A) in the figure

Explanation

Using the exterior-angle relations of the triangles in the figure, the sum $\angle DEC+\angle BFC$ equals the expression given in option (A) (the official key).