Question

If CDF = (3x + 14)°, FDE = (5x – 2)°, and CDE = (10x – 18)°, find CDF.

Answer 1

45°

Explanation:

in a triangle,

we know that sum of all interior angles are equal to 180°.

so,

(3x+14)° + (5x-2)° + (10x-18)° = 180°

therefore, 18x - 6 = 180°

so, x = 186/18 = 93/9

Now,

angle CDF = (3x + 14)° = (3*93/9 + 14)° = (31+14)° = 45°