Question

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Answer 1

Step-by-step explanation:

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8th

Maths

Understanding Quadrilaterals

Some Special Parallelograms

ABCD is a rhombus and ABDE ...

MATHS

ABCD is a rhombus and ABDE is a parallelogram.

Given that EDC is a straight line and ∠AED=36

o

, find ∠BAD.

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ANSWER

⇒ ∠BDC = ∠AED = 36

∘

( corresponding angles of AE and BD.)

⇒ We know that ABCD is a rhombus, so AB∥DC

⇒ ∠ABD = ∠BDC =36

∘

( Alternate angles)

⇒ ∠ADB = ∠ABD = 36

∘

(Base angles of isosceles, since AB =DC)

⇒ In △ADB,

⇒ ∠BAD + ∠ABD + ∠ADB = 180

∘

Substituting all the values we get,

⇒ ∠BAD + 36

∘

+ 36

∘

= 180

∘

⇒ ∠BAD = 180

∘

- 36

∘

- 36

∘

∴ ∠BAD = 108

∘

Answer 2

Answer:

120°

Step-by-step explanation:

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