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

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

1 Answer

5 votes

Answer:

m(minor arc KL) = 153°

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°

User Kadi
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