SmartaGirl1255
SmartaGirl1255 SmartaGirl1255
  • 25-02-2018
  • Mathematics
contestada

In triangle NOP, Np is extended through Point P to Point Q, m < NOP =(x+17) degrees, m< PNO =(2x-4) degrees, and m< OPQ=(5x-17) degrees. Find m< OPQ

Respuesta :

CrazyEmily
CrazyEmily CrazyEmily
  • 25-02-2018
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.

Sorry this took forever. The website is hard to use because I'm used to using the app:)

Best of wishes!
Ver imagen CrazyEmily
Answer Link

Otras preguntas

how did the articles of confederation represent continuity​
One species benefits and the other species is neither harmed nor helped. Both species benefit. One species benefits and the other species is harmed. A. para
How much is law school a year?
What is the multiplicative inverse of 18
algebra question, show steps of how to solve 1=k+14​
Find one positive and one negative angle coterminal with an angle of 9pi/6
What were the reasons many Europeans decided to try their luck coming to the New World?
How did England first attempt to challenge Spanish supremacy in the Americas? A. establishing a colony in Roanoke, Virginia B. establishing colonies in the
is -3/4 rational number or irrational
What are the three most important jobs of an operating system?