Question

The sum of two opposite angles of the parallelogram is 130 degree. find the angle of the parallelogram. ​

Answer 1

Answer:

ABCD is a parallelogram.

∠B+∠D=130

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

∠B=∠B=130

2∠B=130

∠B=

2

130

∠B=65

Now ∠B+∠C=180

(adjacent angles of a parallelogram are supplementary )

∠C=180

−∠B=180

−65

∠C=115

∴∠A=∠C=115

(opp. angles of parallelogram are equal)

∴∠B=∠D=65

and ∠A=∠C=115

Step-by-step explanation:

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