2 opposite angus of a parallelogram are
[3x - 10)° and (2x + 35)° The find the measure
of allthe 4 angles of parallelogram
Answers
Answer :
125°, 125°, 55°, 55°
Solution :
Opposite angles of parallelogram are equal.
3x - 10 = 2x + 35
3x - 2x = 35 + 10
x = 45
The angles are
(3x - 10) = 125°
(2x + 35) = 125°
Sum of Adjacent angles of parallelogram is 180°
(180 - 125) = 55°
(180 - 125) = 55°
Answer:
the two opposite angles of a parallelogram are (3x-10) and (2x+35). find the measures of all the four angles of the parallelogram.
sashwat1 · Helping Hand
Answer
Verified answer
Hey there!
We know that Opposite angles of a parallelogram are congruent.
Therefore, 3x-10=2x+35 => 3x-2x = 35+10
=> x=45°
Hence, the angles are 3x-10=3*45-10=125º.
We know that adjacent angles of a parallelogram form a linear pair. 180-125=550.
Therefore the angles of the parallelogram are 125° ,55°,125°,55°
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