Angle c is an inscribed angle of circle p. angle c measures (x + 5)° and arc ab measures (4x)°. find x.

Step-by-step explanation:

Assumptions

You have to make some assumptions here without a diagram, and those assumptions can be wrong.

The endpoints of <C at the same endpoints as the arc. The central angle is also 4xThe measure of C is 1/2 the measure of the central angle.

With these in mind we can go on

Equation

2*<C = the measurement of the arc.2*(x + 5) = 4x                     Properties of Arcs central angles and interior angles with the vertex and two other points on the legs of angle hitting the circumference.

Solution

Remove the brackets

2x + 10 = 4x                   Subtract 2x from both sides2x - 2x + 10 = 4x - 2x10 = 2x                          Divide both sides by 210/2 = 2x/25 = x                              Answer