Question

# Two opposite angles of a parallelogram are $$100^o$$ each. Find each of the other two opposite angles.

Solution

## Given two opposite angles of a parallelogram are $$100^o$$ eachThe sum of adjacent angles of a parallelogram $$=180^o$$Hence,$$\angle A+\angle B=180^o$$$$100^o+\angle B=180^o$$$$\angle B=180^o -100^o$$We get, $$\angle B=80^o$$We know that The opposite angles of a parallelogram are equal$$\angle D=\angle B=80^o$$Therefore, th eother opposite angles $$\angle D=\angle B=80^o$$Maths

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