Question

Solve for Angle DFE and Angle EDS in the diagram below:

Answer 1

Answer:

DFE = 23

EDS = 111

Explanation:

Mathematically;

(3x-10) + 46 + 180 - (5x + 14) = 180

Reason for this is that sum of angles in a triangle is 180

Thus;

3x-10 + 46 - 5x-14 = 0

-2x + 22 = 0

2x = 22

x = 22/2 = 11

DFE = 3x - 10 = 3(11) - 10 = 33-10 = 23

EDS = 180 - (5x + 14) (sum of angles on a straight line)

180 - (5(11) + 14)

= 180 - 69

= 111

EDS