please answer this question if abcd is a rhombus and angle abd is 50 degree find bcd
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PjJerry:
80° ?
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AB = AD ( all sides of the rhombus are
equal )
=> angle ADB = angle ABD = 50 degrees
(angles opposite to equal sides are equal)
ADB + ABD + BAD = 180 degrees
=> 50 + 50 + BAD = 180
=> 100 + BAD = 180
=> angle BAD = 180-100 = 80 degrees
angle BCD = angle BAD = 80 degrees
(opposite angles of the rhombus are equal).
equal )
=> angle ADB = angle ABD = 50 degrees
(angles opposite to equal sides are equal)
ADB + ABD + BAD = 180 degrees
=> 50 + 50 + BAD = 180
=> 100 + BAD = 180
=> angle BAD = 180-100 = 80 degrees
angle BCD = angle BAD = 80 degrees
(opposite angles of the rhombus are equal).
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