Question

In the given figure, find the value of x.
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Answer 1

Answer:

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Answer 2

Given :-

One figure is given

One angle of that figure = 50°

Exterior angle = 130°

Solution :-

Let the name of the given figure be ABCD

Here,

ΔBCA = 50°

ΔABC = x

ΔBCD = 130°

Now,

Let take ΔACB

Therefore ,

ΔACB + ΔBCD = 180° ( Linear pair)

[ Linear pair are the adjacent angles whose sum is equal to 180°]

ΔACB + 130° = 180°

ΔACB = 180° - 130°

ΔACB = 50°

Now, We know that

ΔBCA = 50° , ΔABC = x and ΔACB = 50°

By using angle sum property,

ΔBCA + ΔABC + ΔACB = 180°

50° + x + 50° = 180°

x + 100° = 180°

x = 180° - 100°

x = 80°

Hence, The value of x is 80° $.$