Answer:
<OPQ = 23 degrees
Step-by-step explanation:
Given
Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)
Exterior angle = m<OPQ = (5x-2)
The sum of interior angles is equal to the exterior angle, that is;
m∠PNO+m∠NOP = m<OPQ
x+14 + x-1 = 5x-2
2x + 13 = 5x-2
Collect like terms;
2x-5x = -2-13
-3x = -15
x = 15/3
x = 5
Get <OPQ
<OPQ = 5x - 2
<OPQ = 5(5)- 2
<OPQ = 25-2
<OPQ = 23 degrees
The ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)
<h3>Ratio and proportions</h3>
From the given diagram, we can create two coordinate points which are (2, 3) and (4, 6)
We need to determine the ordered pair would represent a ratio that is equivalent.
Multiplying the coordinate by a scale factor of 4 will give
A(2, 3) = A'(4(2), 4(3)) = (8, 12)
Hence the ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)
Learn more on coordinate pair here: brainly.com/question/1528681
