Question

find the value of a and b if AB||DE.​

Answer 1

Step-by-step explanation:

Since, AB∥DE and AD is a transversal.

∴∠EDC=∠BAC (Alternate angles)

⇒a=40 .

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Answer 2

$\bigstar$ Question:

• Find the value of a and b if AB||DE.

$\bigstar$Given:

• AB || DE
• $\angle$FED = 48°

$\bigstar$To find:

• The value of a and b.

$\bigstar$ Solution:

$\because$ AB || DE and FE is the transversal,

$\therefore$ $\angle$ FED = a = 48°

( Corresponding angles )

$\therefore$ a = 48°

Now, $\angle$ FED + b = 180°

( Interior angles on the same side of the transversal )

$\implies$ 48° + b = 180°

( Since it is given that $\angle$FED = 48°)

$\implies$ b = 180° - 48°

$\implies$ b = 132°

$\therefore$ b = 132°

$\bigstar$Answer:

• Therefore, a = 48°
• b = 132°