Question

The sum of two opposite angles of a parallelogram is 130°. Find the measure of each
its angles.
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Answer 1

Answer:

65°

Step-by-step explanation:

Opposite angles of a parallelogram are always equal. So, the sum,

130° = 2x (where x is each angle)

=> x = 130/2 = 65° (ans)

Answer 2

Answer:

ABCD is a parallelogram.

∠B+∠D=130

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∠B=∠D (opposite angles of a parallelogram are equal)

∠B=∠B=130

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2∠B=130

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∠B=

2

130

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∠B=65

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Now ∠B+∠C=180

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(adjacent angles of a parallelogram are supplementary )

∠C=180

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−∠B=180

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−65

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∠C=115

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∴∠A=∠C=115

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(opp. angles of parallelogram are equal)

∴∠B=∠D=65

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and ∠A=∠C=115

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