In triangle abc,the bisector of <B and<C intersect each other at a. point d .If <BDC=104°,then the measure of<A is
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If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that m∠C+m∠D=k⋅m∠AOB, then what is the value of k?
ABC is a triangle, the bisector of the exterior angle and B and C intersect each other at D. Prove angle D is half of angle A?
How do you differentiate between external and internal angle bisectors of a triangle?
Step-by-step explanation:
A+B+C = 180° => A/2 + B/2 + C/2 = 90°
=> B/2+C/2 = 90°-A/2 …….………(1).
In the ∆ BCD, (B/2) + (C+90°-C/2) + 60° = 180°
=> B/2 + C/2 = 30° = 90°- A/2 = 30° => A = 120°
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