SOLUTION: Opposite angles of a parallelogram measure (5x-26) degrees and (4x+4) degrees. Find the measures of all the angles.

Question 1013322: Opposite angles of a parallelogram measure (5x-26) degrees and (4x+4) degrees. Find the measures of all the angles.
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
opposite angles of a parallelogram are congruent. Thus
5x - 26 = 4x + 4
x = 30
which means these two angles are
5(30) - 26 = 150 - 26 = 124 degrees
The others are supplementary, or
180 - 124 = 56 degrees each
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Opposite angles of a parallelogram
are equal, so

The opposite angles are:

and

--------------------
Let = one of the other opposite
pairs of angles. Since the angles of a
parallelogram add up to degrees,

The angles are 56, 56, 124, and 124
check:

OK
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