Question

Given: m∠MEJ=16°, Measurement of Arc MJ =5 * Measurement of Arc KL, Find: Measurement of Arc KL

Answer 1

The measurement of arc KL is
`8\°`

Explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

`m<MEJ=(1)/(2)(y-x)`

we have

`m<MEJ=16\°`

`y=5x`

substitute the given value

`16\°=(1)/(2)(5x-x)`

`32\°=(4x)`

`x=8\°`

therefore

The measurement of arc KL is
`8\°`