The opposite angles of a parallelogram are (3x - 2)° and (50 - x)". Find the measure of each angle
parallelogram
Answer
3x-2=50-x
3x+x=50+2
4x =52
x = 52/4
x= 13
value put in x
(3x-2)
(3 multiply 13-2)
(39-2)
37°
sum of adjacent angle is 180°
the other two opposite angles =180°-37°=143°
143°answer
Answers
Answer:
the opposite angles of a parallelogram are congruent.
this means that an angle of 3x - 2 is equal to an angle of 50 - x degrees.
your equation is:
3x - 2 = 50 - x
add x to both sides of this equation and add 2 to both sides of this equation to get:
4x = 52
divide both sides of this equation by 4 to get:
x = 52/4 = 13
your first angle is equal to 3x - 2 which is equal to 39 - 2 which is equal to 37.
your second angle is 50 - x which is equal to 50 - 13 which is equal to 37.
both angles are equal so you're good.
the adjacent angles in a parallelogram are supplementary.
your adjacent angles to these angles are therefore equal to 180 - 37 = 143 degrees each.
143 + 37 = 180 so they're supplementary.
the sum of the angles of a quadrilateral is equal to 360 degrees and 2 * 37 + 2 * 143 = 74 + 286 = 360 so we're good here too.
Answer:
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