Answer to Question #197472 in Geometry for Andu

Question

A, B, C, D, and E are points on a circle. BFD and AFC are straight lines. DC = DF. Angle mass BAF = 24⁰. Angle mass AFE = x. EFD angle measure = 2x. Find the measure of the angle x.

Answer 1

Now according to the diagram above , we can say that all three angles that is $( 24^0,x,2x)$ lies on the same straight line .

According to the property of the straight line ,all angles lie on the same straight line at a point have the sum $= 180^0$

So accordingly:

$\Rightarrow$ $x +2x+ 24 = 180 ^0$

$\Rightarrow 3x = 156^0$

$\Rightarrow x= 52^0$