Question

8. An angle of a parallelogram measures 70º. Find the measure of the remaining three angles.​

Answer 1

In a parallelogram opposite sides are equal...

so.. <1 =<2 and <3=<4

let <1 be 70° (given)

So. <1 = <2 = 70°

Now the sum of angles of a parallelogram is 360°

<1 +<2+ <3 +<4 = 360°

70° + 70° + <3 + <4 = 360°

140° + 2<3 =360°. ( <3 = <4)

2<3 = 360° - 140°

2<3 = 220°

<3 = 220°/2

<3 = 110°

<3 = <4 = 110°

Therefore <1 = <2 = 70° and <3 = <4 = 110.

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