Measure of one angle of a Rhombus is 100º find the measures of remaining three
Angles?
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Step-by-step explanation:
ABCD is a rhombus, ∠A=100
Opposite angles of a rhombus are equal.
∴ ∠A=∠C=100
∴ ∠B=∠D
Sum of four angles of a rhombus is 360.
∴ ∠A+∠B+∠C+∠D=360
⇒ 100+∠B+100+∠B=360 [ Since, ∠B=∠D ]
⇒ 200+2∠B=360
⇒ 2∠B=360 - 200
⇒ 2∠B=160
⇒ ∠B=80
∴ ∠B=∠D=80
We get, remaining three angles are 100,80,80.
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