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Dimas [21]
3 years ago
7

Solve for x using what you know about interior angles of the shape

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

117

Step-by-step explanation:

The figure is five sided, therefore the sum of the angles = (5-2)180

                                                                                             = 3*180

                                                                                             = 540

113 + 123+97+90(since its right angles)+y(unknown) = 540

423 + y = 540

y = 540 - 423

y = 117

Let the angle vertically opposite to y be z

y = z (vertically opposite angles)

z = 117

x = 117 (Corresponding angles are equal)

Hope u understand.

Please mark as teh brainliest

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Musya8 [376]

Answer:

The measure of angle LMW is m\angle LMW=67\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

so

m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK]

substitute the given values

65\°=\frac{1}{2}[arc\ MW+68\°]

130\°=[arc\ MW+68\°]

arc\ MW=130\°-68\°=62\°

step 2

Find the measure of arc LK

we know that

arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\° -----> by complete circle

substitute the given values

164\°+62\°+68\°+arc\ LK=360\°

294\°+arc\ LK=360\°

arc\ LK=360\°-294\°=66\°

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

so

m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK]

substitute the given values

m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°

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Answer:

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Step-by-step explanation

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