Question

find the value of x in the following figure​

Answer 1

Sum of 2 interior angles = Exterior angle

60° + 60° = 4x - 80°

120° = 4x - 80°

120° - 80° = 4x

40° = 4x

x = 40/4

x = 10

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Answer 2

Answer :-

The Exterior Angle Property of a triangle states that the sum of two interior opposite angles equals to the exterior angle.

Given,

1st Interior Opposite Angle (1st A)  = 60°

2nd Interior Opposite Angle (2nd A)  = 60°

Exterior Angle = (4x - 80)°

Thus,

$60+60=(4x-80)$

$=>120=4x- 80$

$=>120+80=4x$

$=>200=4x$

$=>200\div4=x$

$=>50 =x$

Verification :-

LHS = $60$° $+$

= $120$°

RHS = $4x-80$

= $4$ × $50-80$

= $200-80$

= $120$°

LHS = RHS hence, verified.

Thus,

The value of $x$ is $50$° and the Exterior Angle $(4x-80)$ equals to $120$°.

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