Biology, asked by Anonymous, 5 months ago

the bisector of two adjacent angles of parrello gram inspects at an angle

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Answered by ImposterQueen

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In a parallelogram, opposite angles are congruent(i.e. are of equal length).

Also, the opposite angles are of same measure.

Whereas the adjacent angles are supplementary(add up to 180 degrees).

Let a and b be measures of any two adjacent angles of a parallelogram,⟹a+b=180°

....... (i)After bisecting the angles with measures a and b we get the measures of that angles as 2a and 2b respectively.

From (i), we get(a+b)2=180o /2⟹ 2a + 2b = 90°

Now, the bisectors will form a triangle and sum of the angles of a triangles is 180° .

∴ Measure of angle formed by bisectors =180−90=90° .

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Answered by Anonymous

Answer:

In a parallelogram, opposite angles are congruent(i.e. are of equal length).

Also, the opposite angles are of same measure.

Whereas the adjacent angles are supplementary(add up to 180 degrees).

Let a and b be measures of any two adjacent angles of a parallelogram,

⟹a+b=180o ....... (i)

After bisecting the angles with measures a and b we get the measures of that angles as 2a and 2b respectively.

From (i), we get

(a+b)/2=180o/2

⟹2a+2b=90o

Now, the bisectors will form a triangle and sum of the angles of a triangles is 1800.

∴ Measure of angle formed by bisectors =180−90=90o.

Hence, option D is correct.

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