in a parellelogram abcd find the measure of all the angles if one angle measures 68°
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Answer:
a=112
c= 112
d=68
d=68
hope this helps
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Step-by-step explanation:
Let ∠b = 68°
∴∠d = ∠b =68° ( in a parallelogram , opposite angles are equal )
let the measurement of ∠a = x°
∴∠c = ∠a = x° (∵opposite angles )
so, 68° + x° + 68° + x° = 360° [ ∵ sum of all angles in a parallelogram is 360°)
⇒2x° + 136° = 360°
⇒2x = 360° - 136°
⇒x° = 224/ 2 = 112°
hence the measure of all the angles are 68° , 112° , 68° and 112°
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