Question

PLEASE HELP

Answer 1

Answer:

m∠x = 75°

Step-by-step explanation:

Since sum of all angles in a quadrilateral EVWX = 360°

m∠E + m∠V + m∠W + m∠X = 360°

Since ∠X + ∠V = 180°

m∠E + m∠W = 180°

8x - 12 + 5x - 3 = 180

13x - 15 = 180

13x = 180 + 15 = 195

x = 195/13 = 15

Therefore ∠X = 5×15 = 75°

Answer 2

$\hat{E} + \hat{V} + \hat{W} + \hat{X} = 360 \\ \Leftrightarrow \hat{V} = 360 - \hat{E} - \hat{W} - \hat{X} \\ \Leftrightarrow \hat{V} = 360 - 8x + 12 - 5x + 3 - 5x \\ \Leftrightarrow \hat{V} = - 18x + 375 \\ \hat{X} + \hat{V} = 180 \\ \Leftrightarrow - 18x + 375 + 5x = 180 \\ \Leftrightarrow - 13x = - 195 \\ \Leftrightarrow x = 15\\\Rightarrow \hat{X}=5 \times 15=75°$