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

whats another way to write -[-9]
Michele cuts 1/4 yard of ribbons in to 4 equal pieces.What is the length of each piece?
Some of the things archaeologists study to gather information about early agrarian societies are _____.
enactment prefix root and suffix
At one store, Matt saved $25 with a coupon for 50% off his total purchase. At another store, the $22 he spent on books is 44% of his total bill. How much did Ma
What figure of speech is used in these lines from William Shakespeare’s Romeo and Juliet? But all so soon as the all-cheering sun Should in the furthest east be
A journalist uses a video camera to capture an interview. This video camera is an example of _____. hardware software
How did the civil war break out
That can function as an interrogative pronoun. true or false?
Which is denser 10 g of shampoo or 10 kg of shampoo?