Question

Find the measure of minor arc KL. (x - 1) G H (5x + 7)04

Answer 1

Answer:

m(minor arc KL) = 153°

Step-by-step explanation:

"Measure of intercepted arcs between two diameters are equal in measure"

By this property,

m(JK) = m(HL)

(7x - 1)° = (5x + 7)°

7x - 5x = 7 + 1

2x = 8

x = 4

Therefore, m(arc HL) = (5x + 7)

                                  = 5(4) + 7

                                  = 27°

Now measure of minor arc KL = m(arc KH) - m(arc HL)

                                                  = 180° - 27°

                                                  = 153°

Therefore, measure of minor arc KL is 153°