Question

What is the value of the angle formed by intersection of bisectors of any two adjacent angles of a rhombus ? *
1 point
90 degree
25 degree
30 degree
105 degree​

Answer 1

Answer:

90 degree is the correct answer.

Step-by-step explanation:

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°......(1)

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

respectively.

→ From (1), we get

(a+b)/2=180°/2⟹ a/2 + b/2 = 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°

Hope it helps you....

Follow me and mark my answer

as BRAINLIST...

Thank my answers.... Thank u and have a nice day....