Marc is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180o. Line m is parallel to line n. Line n is parallel to line m. Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 85 degrees. Segme Which is a true statement he could write? (6 points) Select one: a. Angle PRQ measures 45o. b. Angle PQR measures 85o. c. Angle PQR measures 40o. d. Angle PRQ measures 50o.

D)  PRQ = 50 degrees as Q is an alternate interior angle with P angle measure 45degree and shows a transversal line with PQ would work, but it is not shown after we show PQR = 45degree we can then prove all angles add upto 180 degree, 85 + 45 +50.

Step-by-step explanation:

For further reference compare it to an isosceles trapezoid missing angle and then you will get further understanding if no alternate angles are shown on the transversal.

We know its not isosceles as the angles are shown along transversal 45 degree at angle P and this proves that measure Q is also 45 degree = QPR = P and thereafter can work out PRQ = 50 degree and where R represents 50

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

i believe the answer is c.