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Answer:
5) 100+x=180
x=80 degree
6) 2x+3x+130=180
5x=50
x=10
2x=20 degree
3x=30 degree
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5. let the opposite interior angles be x degrees
As they are equal, sum of them= (x×2) = 2x degrees
Therefore,
2x= 100( in a triangle, sum of opp int angles = ext angle)
x= 100/2 = 50 degrees(Ans)
6. Let the common factor in the ratio be x,
so, one of the opp int angle = 2x degrees
another opp int angle = 3x degrees
Therefore,
2x+3x= 130( in a triangle, sum of opp int angles = ext angle)
5x= 130
x= 26
Two int angles are (2×26) degrees and (3×26) degrees
= 52 degrees and 78 degrees (ans)
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