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Vikki [24]
3 years ago
8

How can I solve this problem?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

  116

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°. The figure here is symmetrical about the line NQ, so ∠P = ∠M = x°. Using these facts, we can write ...

  ∠M +∠N +∠P +∠Q = 360°

  x° +28° +x° +100° = 360° . . . . fill in the angle values

  2x = 232 . . . . . . . . . . . . . . . . . divide by °, subtract 128

  x = 116 . . . . divide by 2

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Consecutive angles in a parallelogram are supplementary. What is the value of x?
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Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

\angle{ QRS=6x } ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

\tt{x=\dfrac{160}{20}  } ⠀

\tt{ x=20 } ⠀

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2 years ago
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2 years ago
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Svetllana [295]

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