Question

This is geometry on delta math I have no idea how to do it please help me

Answer 1

x = 9

Explanation:

We know sum of interior angles of a polygon =
`(n-2)* 180`

For a triangle (having n = 3),

Sum of interior angles = (3 - 2)×180°

= 180°

In ΔVWX,

m∠V = (12x + 19)°

m∠W = (2x + 19)°

m∠X = (x + 7)°

And m∠V + m∠W + m∠X = 180°

(12x + 19)° + (2x + 19)° + (x + 7)° = 180°

(12x + 2x + x) + (19 + 19 + 7) = 180°

15x + 45° = 180°

15x = 180° - 45°

x =
`(135)/(15)`

x = 9

Therefore, value of x = 9.