Math, asked by mehak111135, 1 month ago

PLEASE ANSWER THIS QUESTION WITH STEP TO STEP EXPLANATION.
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Answers

Answered by Vikramjeeth
9

In the given figure ABCD is a parallelogramthen find:

  • (i) <ABC
  • (ii) x
  • (iii) y
  • (iv) z

\mathbb{ANSWER}

  1. <ABC = Parallelogram
  2. x = 55°
  3. y = 69°
  4. z = 111°

Step by step Explanation:

Given

ABCD is a parallelogram.

  • ∠A = 125°
  • ∠BCZ = 56°

To Find:

  • x, y and z.

Proof:

For 'X'

→ x + 125° = 180° [Co - Interior Angles]

→ x = 180° - 125°

→ x = 55°

For 'Y'

→ ∠A = ∠C [Opp. angles of a parallelogram are equal]

→ 125° = y + 56°

→ 125° - 56° = y

→ y = 69°

For 'Z'

ADCZ is a quadrilateral.

→ ∠A + x + y + z = 360°

→ 125° + 55° + 69° + z = 360°

→ 249° + z = 360°

→ z = 360° - 249°

→ z = 111°

@vikramjeeth

Answered by mygloriousart
2

Answer:

hope it will help you

Step-by-step explanation:

thanks I wish that it'll help you

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