Question

ABCD is a rhombus with ABC=126 Degree find the measure of ACD

Answer 1

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Since ABCD is a rhombus

⇒ ABCD is a parallelogram

∴∠ADC = ∠ABC = 126°[opp angles of a parallelogram are no equal]

∵ Adjacent sides of a rhombus are equal

∴ AD = AC

⇒ ∠DAC = ∠ACD [angles opposite to equal sides are equal

= x(say)

∴ In △ACD we have

∠DAC + ∠ACD + ∠ADC = 180° ⇒ x + x + 126°= 180°

⇒ 2x = 54 ° ⇒ x = 27°

∴ ∠ACD = 27° .

$<p style = " color:cyan ; front-family ; cursive ; background : black; front size25 px ; "> hope this helps....$

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