in a given rhombus ABCD , angle CBD=59 find angle ACB DAB ADB
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Answer:
Step-by-step explanation:
(i) ∠CBD=59
∠BOC=90° {diagnolsof rhombus bisect each other at right angles}
In Δ BOC
∠COB+∠OBC+∠BCO=180 {Angle sum propertyof a Δ}
90+59+∠bco=180
149+∠bco=180
∠bco=180-149
∠bco=31
(iii) ∠dbc=∠adb=59 {alternate interior angles are equal}
(ii) ∠dba=∠dbc=59 {diagnols of rhombus bisect the angles}
in Δ dab
∠dab+∠abd+∠bda=180
∠dab+59+59=180
∠dab+118=180
∠dab=180-118
∠dab=62
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