Question

angle addition hw
if m∠lev = 175°; m∠leo = 17x - 3 and m∠oev = 17x + 8
x = 5

Explanation:

Step1: Apply angle - addition postulate

$m\angle{LEV}=m\angle{LEO}+m\angle{OEV}$
$175=(17x - 3)+(17x + 8)$

Step2: Combine like - terms

$175=17x-3 + 17x+8$
$175=34x + 5$

Step3: Solve for x

Subtract 5 from both sides:
$175 - 5=34x+5 - 5$
$170 = 34x$
Divide both sides by 34:
$x=\frac{170}{34}=5$

Answer:

$x = 5$