SemisiI785112 SemisiI785112
  • 03-11-2022
  • Mathematics
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Find the measure of arc JML. Enter only your numerical value.

Find the measure of arc JML Enter only your numerical value class=

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RayvenW327509 RayvenW327509
  • 03-11-2022

ANSWER

The measure of arc JML is 176 degrees.

EXPLANATION

Given:

An inscribed angle of 88 degrees.

Desired Outcome

Measure of arc JML

Applying the Inscribed Angle Theorem

The measure of an inscribed angle is half the measure of its intercepted arc, according to the Inscribed Angle Theorem.

i.e:

[tex]\begin{gathered} m\angle JKL\text{ = }\frac{1}{2}arcJML \\ arcJML\text{ = 2m}\angle JKL \\ arcJML\text{ = 2}\times88 \\ arcJML\text{ = 176}^0 \end{gathered}[/tex]

Hence, the measure of arc JML is 176 degrees.

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