Question

The bisectors of any two adjacent angles of a ​

Answer 1

Answer:

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Answer 2

Answer:

your questing is wrong and you had written half. Correct Question:The bisectors of any two adjacent angles of a parallelogram intersect at

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Step-by-step explanation:

ANS:-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  

o

 ....... (i)

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

2

a

​  

 and  

2

b

​  

 respectively.

From (i), we get

(a+b)/2=180  

o

/2

⟹  

2

a

​  

+  

2

b

​  

=90  

o

 

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

0

.

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

o

.