Math, asked by elsami6862, 8 months ago

In a parallelogram abcd, angle b is equals to angle c what is the degree measurement of angle b and angle c

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Answered by harpreetsingh4866
0

Answer: This is the answer.

Step-by-step explanation:                

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Answered by RIZAMOHAMED
0

In any parellelogram ABCD, there are two facts that are always true:

The sum of the angles is always 360° (true for all convex quadrilaterals)

∠A=∠C , and  ∠B=∠D  

By corollary this means that 2B+2C=360°; B+C=180°. This property is what makes the opposite sides of a parellelogram parallel, as any polygon with two consecutive angles adding to 180° will have two parallel sides.

If B=C that gives us:

B+C=2B=180°

B=90°

And so if you have a parallelogram with two consecutive angles equal, you have a rectangle.

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