Question

5. The sum of opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
​

Answer 1

Answer:

here is your ans. mate

Step-by-step explanation:

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

∘

Answer 2

Answer:

Sum of two opposite angles of a parallelogram is 130°. We know that the sum of all the angles in a parallelogram is 360°. Now, let the two other opposite angles be a°. So, two angles in the parallelogram are 65° and the other two angles are 115°.