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5. The sum of opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram. |
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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= 2130 ∘ ∠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 ∘ |
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