sketishere sketishere
  • 02-04-2020
  • Mathematics
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If the measure of arc LNM is 280 degrees, what is the value of y?

If the measure of arc LNM is 280 degrees what is the value of y class=

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shilpa85475 shilpa85475
  • 08-04-2020

Given:

m(ar LNM) = 280°

To find:

The value of y.

Solution:

Complete angle = 360°

m(ar LNM) + m(ar LM) = 360°

280° + m(ar LM) = 360°

Subtract 280° from both sides.

280° + m(ar LM) - 280° = 360° - 280°

m(ar LM) = 80°

Inscribed angle is equal to the half of the intercepted arc.

[tex]$\Rightarrow \angle LNM = \frac{1}{2} m (ar\ LM )[/tex]

[tex]$\Rightarrow y= \frac{1}{2}(80^\circ )[/tex]

[tex]$\Rightarrow y= 40^\circ[/tex]

The value of y is 40 degrees.

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