Answer
x=8
Work Step by Step
Use the definition of congruent angles and the given values.
$4x-2=2x+14$
Add 2 to each side.
$4x-2+2=2x+14+2$
$4x=2x+16$
Subtract 2x from each side.
$4x-2x=2x+16-2x$
$2x=16$
Divide each side by 2.
$2x\div2=16\div2$
$x=8$
Substitute for x to check the result.
$4x-2\overset?=2x+14$
$4(8)-2\overset?=2(8)+14$
$32-2\overset?=16+14$
$30=30\checkmark$
