Question

Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.

Answer 1

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

$x = \frac{32}{2}$

x = 16°

The value of x is 16°