Question

Someone Help? Im giving 20 points. (RIGHT ANSWER ONLY PLEASE)
In the diagram below line l is parallel to line m. Also, line p is parallel to line q. Given this information:
m∠4 = 1/2x+3
m∠3 = 1/4x+12
What is the value of x?

Answer 1

Answer:

Step-by-step explanation:

p // q and m is transversal

∠4 + ∠3 = 180    {Co-interior angles are supplementary}

$\dfrac{1}{2}x + 3 + \dfrac{1}{4}x +12= 180\\\\ \dfrac{1*2}{2*2}x+ \dfrac{1}{4}x + 3 +12=180\\\\ \dfrac{2}{4}x+ \dfrac{1}{4}x+15=180\\\\ \dfrac{3}{4}x = 180-15\\\\ \dfrac{3}{4}x=165\\\\x=165* \dfrac{4}{3}\\\\x= 55*4\\\\x = 220$