Question

Angle C is an inscribed angle of circle P. Angle C measures (x + 5)° and arc AB measures (4x)°. Find x.

Answer 1

Answer:

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 4x
• The 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 sides
• 2x - 2x + 10 = 4x - 2x
• 10 = 2x                          Divide both sides by 2
• 10/2 = 2x/2
• 5 = x                              Answer