Question

the opposite angles of parallelogram are (3x-10) and (18+2x). Find all the angles.
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explanation
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Answer 1

Answer:

Step-by-step explanation:

Opposite angles if a parallelogram are equal

Hence

(3x-10) = (18+2x)

3x-2x = 18+10

x = 28

Hence the two opposite angles are

3x-10= 3×28 -10 = 84-10=74

18+2x = 18 +2×28 = 18 + 56 = 74°

The adjacent angles of a parallelogram are supplementary.

Hence the adjacent angle is given as

(180-74) = 106°

Hence the other two opposite angles are 104°each.

Hope it is clear.

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