Question

Find the value of x. Draw a triangle and label each interior angle before solving.

Then find the angle measures of the polygon.

Angle one: 2x°, angle two: xº, angle 3: (X + 8)°

Answer 1

Sum of all angles in a triangle = 180°

Which means :-

∠1 + ∠2 + ∠3 = 180°

`2x + x + x + 8 = 180°`

`4x + 8 = 180°`

`4x = 180 - 8`

`4x = 172`

`x = (172)/(4)`

`x = 43`

Angle 1 :-

= 2x

= 2 × 43

= 86°

Angle 2 :-

= x

= 43°

Angle 3 :-

= x + 8

= 43 + 8

= 51°

`therefore \: , \: the \: value \: of \: x = 43°`