13. If one of the angles of an isosceles triangle is 125 degree then the angle between the bisectors of
the other two angles is
Answers
Answered by
14
Step-by-step explanation:
In isosceles triangle two angle are equal.
angle A = 125°
let , angle B = angle C = x°
Sum of all angles of a triangle = 180°
=> 125 + x + x = 180
=> 2x = 55
=> x = 22.5°
Bisector of the other two angles = angle OBC = angle OCB = (angle B) / 2 = 22.5 / 2 = 11.25°
Now, In triangle OBC,
angle BOC + angle OBC + angle OCB = 180°
=> angle BOC + 2× (angle OBC) = 180°
=> angle BOC = 180° - 2(11.25) = 157.5°
ANS.
Answered by
6
Answer:
152.5
Step-by-step explanation:
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