Question

in the given fiqure find the value of x
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Answer 1

7x-3) + (4x-7) = 111° ( external angle property)

or, 7x - 3 + 4x - 7 = 111

or, 7x + 4x - 3 - 7 = 111

or, 11 x - 10 = 111

or, 11x = 111+ 10

or, 11x = 121

or, x = 121/11. = 11

Therefore, value of x is 1.

Answer 2

As we know that

EXTERIOR ANGLE=sum of opposite interior angle

HENCE

111⁰=7X-3⁰+4X-7⁰

111-10=11X

101=11X

X=101/11