Question

Solve for x if = (4x+39)DE=(4x+39). If necessary, round your answer to the nearest tenth.

Answer 1

Answer:

Given that,

In circle,

measure of angle DGE is 52 degrees

$m(arcDE)=(4x+39)\degree$

To solve for x,

we know that,

The angle formed by the two secants that intersect on the circle is half of the intercepted arcs.

Using this we get,

$\angle DGE=\frac{1}{2}(arc(DE))$

Substitute the values we get,

$52\degree=\frac{(4x+39)\degree}{2}$$104=4x+39$$4x=104-39$$4x=63$$x=\frac{63}{4}$$x=15.75$

Round the answer to the nearest tenth.

$x=15.8$

Answer is:

$x=15.8$