Math, asked by fatema13748, 19 days ago

□ ABCD is a parallelogram. The ratio of <A and <B of this parallelogram is 5:4. Find the measure of <B?​

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Answers

Answered by dhrubkumar48
2

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram.

Let the measure of ZA and B be

5x and 4x, respectively.

Now,

ZA+B= 180°

(Adjacent angles of a parallelogram are supplementary)

.. 5x + 4x = 180°

→ 9x = 180°

X

Chapter 1: Datic and Proportion Draction Sat 1 2 [Dann 621

AO0

⇒ x = 20°

:: Measure of ZB = 4x = 4 x 20° = 80°

Thus, the measure of ZB is 80°.

ANSWER IS IN PHOTO

Answered by Ɍɛղgɔƙմ
9

Answer:

Thanks for your question...

Your required answer :

Given :

  • Ratio of Angle A and Angle B = 5 : 4

  • Let the angle A = 5x and Angle b = 4x

  • Angle A + Angle B = 180° { Interior angles of llgm }
  • 5x + 4x = 180°
  • 9x = 180°
  • x \:  =  \frac{180}{9}
  • x = 20°
  • Angle A = 20°

As the angle B is 4x°

  • So angle B = 4 × 20°
  • Angle B = 80°

Brainliest Please

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