What are the measures of the angles of a rhombus,if one of its angles measures 50°
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ABCD is a rhombus, ∠A=50
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Opposite angles of a rhombus are equal.
∴ ∠A=∠C=50
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∴ ∠B=∠D
Sum of four angles of a rhombus is 360
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.
∴ ∠A+∠B+∠C+∠D=360
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⇒ 50
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+∠B+50
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+∠B=360
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[ Since, ∠B=∠D ]
⇒ 100
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+2∠B=360
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⇒ 2∠B=260
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⇒ ∠B=130
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∴ ∠B=∠D=130
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We get, remaining three angles are 50
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,130
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,130
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Answer:
if one angle is 50° the adjacent angle is 180-50=30°
opposite angle is 50°and 130°
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