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CBSE Class 9 Answered

ABC is a triangle in which angle b = 2 angle c. D is a point on side bc such that add bisectes angle bac. and ab = cd. Find the measure of angle bac
Ans: L e t space angle B A C equals 2 x angle B A D space equals x space a n d space angle D A C space equals x space left square bracket S i n c e space A D space i s space t h e space a n g l e space b i s e c t o r right square bracket angle A C D equals y comma space angle A B D equals 2 y left square bracket G i v e n space angle B equals 2 angle C right square bracket A l s o space i t space i s space g i v e n space t h a t space A B equals C D angle A C D equals angle D A C rightwards double arrow y equals x angle B A C plus angle A B C plus angle A C D equals 180 degree rightwards double arrow 2 x plus 2 y plus y equals 180 degree rightwards double arrow 2 x plus 3 y equals 180 degree rightwards double arrow 2 x plus 3 x equals 180 degree rightwards double arrow 5 x equals 180 degree rightwards double arrow x equals 36 degree therefore angle B A C equals 2 cross times 36 degree equals 72 degree
Vatsal Choudhary

In this solution provided by meritnation please tell me how angle acd = angle dac and how ab = cd
Asked by vatsalchoudhary41 | 25 Dec, 2014, 03:45: PM
answered-by-expert Expert Answer
I n space increment A D C space a n d space increment A C B comma C D space equals space A B angle D A C space equals space angle A C B S i n c e space a n g l e s space o p p o s i t e space t o space e q u a l space s i d e s space a r e space e q u a l. A l s o comma space angle A C B equals angle A C D therefore angle D A C equals angle A C D H o p e space t h i s space s o l v e s space y o u r space q u e r y
Answered by Prasenjit Paul | 26 Dec, 2014, 10:56: AM

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