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EB15. If ABCD is a square and DCE is an equilateraltriangle in the given figure, then ZDAE is equal to(a) 45°(b) 30°(c) 15°(d) 221.DC2A АB |
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Answer» Answer: 15 Step-by-step explanation:Given, ABCD is a SQUARE. DCE is an equilateral triangle. ABCD is a square, AB=BC=CD=DA DCE is an equilateral triangle, DC=DC=CE HENCE, AB=BC=CD=DA=CE=DC Now, In △ADE, AD=DE Thus, ∠AED=∠DAE=x ∠ADE=∠ADC+∠EDC ∠ADE=90+60 ∠ADE=150 ∘
Sum of angles of triangle ADE = 180 ∠ADE+∠AED+∠DAE=180 150+x+x=180 x=15 ∘
Hence, ∠DAE=15 ∘ PLEASE MARK AS BRAINLIEST |
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