Question

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

Answer 1

Answer:

The measurement of arc KL is $8\°$

Step-by-step 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

$m$

we have

$m$

$y=5x$

substitute the given value

$16\°=\frac{1}{2}(5x-x)$

$32\°=(4x)$

$x=8\°$

therefore

The measurement of arc KL is $8\°$