What are the angles in a parallelogram if the measure of one interior angle is 50 degrees more than 4 times the measure of another angle?

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Answer

1062252

2026-04-03 01:15

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Opposite angles of a parallelogram are equal, and adjacent angles are supplementary.

Let one angle be θ, then the adjacent angle is 4θ + 50°

→ θ + 4θ + 50° = 180°

→ 5θ = 130°

→ θ = 26°

→ The two adjacent angles are 26° and 154°.

→ The angles of the parallelogram are 26°, 154°, 26°, 154°.

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