SOLUTION: Consecutive angles of a parallelogram measure (7x-2) degrees and (8x+2) degrees. Find the measures of the angles

Algebra.Com
Question 1013324: Consecutive angles of a parallelogram measure (7x-2) degrees and (8x+2) degrees. Find the measures of the angles

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Consecutive angles of a parallelogram are supplementary...thus we have
7x - 2 + 8x + 2 = 180
15x = 180
x = 12
so that the angles are
7(12) - 2 = 72 degrees
8(12) + 2 = 98 degrees
There will be two more angles just like these...

RELATED QUESTIONS

Opposite angles of a parallelogram measure (5x-26) degrees and (4x+4) degrees. Find the... (answered by fractalier,josmiceli)
If someone draws a parallelogram and measures 120 degrees what is the measure of the... (answered by jim_thompson5910)
Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20),... (answered by stanbon)
In a parallelogram the opposite angles have the same measures .. 5x-42. each of the two... (answered by stanbon)
in a triangle, two angles have measures of 17 degrees and 59 degrees. find the measure of (answered by stanbon)
a triangle contains two angles having measures of 92 degrees and 43 degrees. find the... (answered by MathLover1)
Two opposite angles of a parallelogram have measures 3x-20 and 2(x+5) respectively. Find... (answered by stanbon)
Two opposite angles of a parallelogram have measures 3x-20 and 2(x+5) respectively. Find... (answered by RAY100)
Two angles of a triangle have measures of 70 degrees and 85 degrees. Which of the... (answered by rfer,richard1234)