Answer:
The correct option is A:
A) 23°
Step-by-step explanation:
Consider the line FV which is getting intersected by the segment DE, which divided the angle <EDV and <EDF with the line
We know that a straight line has an angle of 180°. Hence, the sums of angles which are formed due to the intersection of the segment DE, should be equal to 180°
<EDV + <EDF = 180°
<EDV + 10x - 9 = 180°
<EDV = 180 - 10x + 9
We know the sum of angles of the triangle is also 180°
<F + <EDV + <E = 180°
(x + 14) + (180 - 10x + 9) + 58 = 180
-9x + 261 = 180
-9x = -81
x = 9
As
<F = x + 14
Substitute x = 9
<F = 23°
