In the circle K, what is the value of x?
options: x= 30dg,25dg,20dg, or 15dg.
What is the measure of (Arc symbol) AC?
We have a right angle with the diameter as a hypotenuse....the other two angles are complementary.....so x = 15°
The inscribed angle is (1/2) of its intercepted arc
So
(4x + 3.5) = (1/2)(4x + 17) multiply through by 2
2 (4x - 3.5) = (4x + 17)
8x - 7 = 4x + 17 add 7 to both sides, subtract 4x from each side
4x = 24 divide both sides by 4
x = 6
So AC = 4(6) + 17 = 24 + 17 = 41°