1.0 PQRS is a Rhombus P = 1150
Complete the following activity to find measure of
remaining angles of rhombus PQRS
S
R
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Answer:
ABCD is a rhombus, ∠A=50
o
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
o
.
∴ ∠A+∠B+∠C+∠D=360
o
⇒ 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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.
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