opposite angles of a parallelogram are in the measure of 2 X + 10 and X + 70 find the angles of the parallelogram
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Answer:
2x+10+x+70=180 (sum of opposite angles of parallegram =180)
3x+80=180
3x=180-80
3x=100
x=100/3
First angle=2x+10
=2×100/3+10
=230/3
Second angle=x+70
=100/3+70
=310/3
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Step-by-step explanation:
here, 2x+10=x+70 (opp angles of IIgm are equal)
so 2x-x=70-10
x=60
so angles are 2(60)+10=130
60+70=130
the rest of the 2 angles are (180-130),(180-130)
as sum of adjacent angles in a llgm is 180
so angles are 50,50.
so all the angles are 130,50,130,50
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