MATH SOLVE

4 months ago

Q:
# PLEASE HELP 2. Quadrilateral EVWX is inscribed in a circle. Find the measure of angle X. (Remember to show formulas/equations and numbers in those formulas/equations to receive credit. Also, make sure to include units on your answer.)

Accepted Solution

A:

[tex] \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=75Β°[/tex]