one of the diagonals of a rhombus is equal to its side. Find the angles of the rhombus.
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Answer 60,120
Step-by-step explanation:
let ABCD is a rhombus in which
AB =BC = DC= AD= AC (diagonal)
AB=BC=AC, therefore∠B=60
(equilateralΔ)
∠D=∠B=60(opposite∠s of a rhombus)
∠A=180-∠B=180-60=120 (consecutive∠s are supplementry .)
∠A=∠C (OPPOSITE ∠s of a rhombus are equal)
∠A=120
∠B=60
∠C=120
∠D=60
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