ANGLES AND GEOMETRY PROBLEM PART 1

Find a, b and c from the following figure below



ANGLES AND GEOMETRY PROBLEM PART 1


  • Since CD is a straight line, therefore the sum of angles 4x, 3x and 5x must be 180°

Hence,
4x + 3x + 5x = 180
→  12x = 180
→  x = 15°

  • Now, we see that following are the equal angles because they are vertically opposite, hence

 a = 5x
 b = 3x
 c = 4x


Therefore,
  a = 5x = 5*15 = 75°
  b = 3x = 3*15 = 45°
 c = 4x = 4*15 = 60°


Comments

Popular posts from this blog

DOT PUZZLE ( CONNECT ALL THE DOTS WITHOUT LIFTING THE PEN AND WITH ONLY FOUR STRAIGHT LINES WITHOUT ANY OVERLAP )

EULER TRAIL PUZZLE