Math, asked by sanjayverma88511135, 7 months ago

find the angle measure x in the following figure.class 8th math chapter 3 exercise= 3.1 question 6 government schools delhi​

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Answered by Anonymous
7

Given:-

  • ∠BEY = 60°,
  • ∠CDX = 70°,
  • ∠BAC = 30°,
  • ∠ACD = ∠ABE = x°.

To Find: Value of (x°).

We know,

Sum of interior angles of a quadrilateral = 360°

∠BEY + ∠BED = 180° (Linear Pair)

→ ∠BED = 180° - ∠BEY = 180° - 60° = 120°

&

∠CDX + ∠CDE = 180° (Linear Pair)

→ ∠CDE = 180° - ∠CDX = 180° - 70° = 110°

A. T. Q.:-

∠BAC + ∠ACD + ∠ABE + ∠BED + ∠CDE = 360°

→ 30° + 2x° + 120° + 110° = 360°

→ 2x° + 260° = 360°

→ 2x° = 100°

→ x° = 50° (Answer)

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Answered by chanduchatopadyaya
0

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