Point o lies in the interior of angle mnp. if the measure of mno is x^2 + 10x, the measure of onp is x^2 - 2x , and the measure of mnp is 3x^2 + 12, find the value of x. then find the measure of onp

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

if x = 1, then the answer is 3.5