find the mesure of all interior angel of a parllelogram with sum of opposite angle is 140. please answer fast
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Answer:
consecutive angles add to 180.
Looks to me like the two acute angles are 70° each.
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We know that opposite angles of a parallelogram are equal
therefore, 140°÷2=70° each
let angle A+ angle B+ angle C+ angle D=360° (angle sum property of a ∆)
70°+70°+x+ x=360
=140°+2x=360
=2x=360-140
=2x=220
=x=220÷2
=x=110°
Hence all the angles of the parallelogram are 70°, 70°, 110° and 110°.
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