Question

The sides AD and BC of a quadrilateral are produced as shown in the given figure. Prove that
$x = \frac{a + b}{2}$
​

Answer 1

Answer:

s

Step-by-step explanation:

Abbu Khan' s goat wanted to run away because they freedom to goat the beautiful hills and enjoy eating the fresh gree grass . A wolf used to kill and eat then in the hills

Answer 2

Step-by-step explanation:

∠DAB + ∠ABC + ∠BCD + ∠CDA = 360°

x + x + 180° – a + 180° – b = 360°

2x + 360° – a – b = 360°

Subtract 360° from both sides, we get

2x – a – b = 0

2x = a + b

Divide by 2 on both sides, we get

$x=\frac{a+b}{2}$

Answer 3

Step-by-step explanation:

∠DAB + ∠ABC + ∠BCD + ∠CDA = 360°

x + x + 180° – a + 180° – b = 360°

2x + 360° – a – b = 360°

Subtract 360° from both sides, we get

2x – a – b = 0

2x = a + b

Divide by 2 on both sides, we get

$x=\frac{a+b}{2}$