□ 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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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°.
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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 = 20°
- Angle A = 20°
As the angle B is 4x°
- So angle B = 4 × 20°
- Angle B = 80°
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