Measure of arc LN = ?

Question

asked Jul 18, 2022 130k views

1 Answer

Defraggled · Answer 1 · 2022-07-25T09:44:16+0000

Given:

The figure of a circle.

To find:

The measure of LN.

Solution:

We know that the measure of arc is twice of measure of subtended angle on that arc.

In the given figure,

$m(arc(LN))=2(m\angle LMN)$

Substituting the value of angle from the given figure, we get

$m(arc(LN))=2(47^\circ)$

$m(arc(LN))=94^\circ$

Therefore, the measure of arc LN is 94 degrees.