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Transcript

Time | Transcript |
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00:00 - 00:59 | the question is that in figure ABC is a triangle in which angle b is equal to 2 angle C D is a point on side BC such that ad bisects angle BAC and ab is equal to CD BP is the bisector of Angle B the measure of angle BAC we have to find out this diagram it is given that angle C is equal to y which implies Angle B will be equal to 2 into why also angle b is equal to angle A is equal to X which has been resumed and is joined to point B as shown with the dotted lines show in triangle BPC |

01:00 - 01:59 | we have angle C B P is equal to angle BAC is equal to y which implies BP is equal to PC because sides opposite to equal angles are equal in measurement now in triangle abc and triangle DCP we have angle abc is equal to angle DCT is equal to y a b is equal to DC it is given in the question and bp is equal to PC which has been proved above therefore by SAS congruence see we can say |

02:00 - 02:59 | triangle ABC is congruent to triangle DC this implies by cpct we can right angle BAC is equal to angle CDP that will be equal to 2 X and ap is equal to DP now ap is equal to DP implies angle A is equal to angle b is equal to X because angles opposite to equal sides in a triangle are equal now from this we can write in triangle abc |

03:00 - 03:59 | ADC will be equal to angle AB + Angle B A because external angle is equal to sum of opposite internal angles this implies X + 2 X for angle ADC will be equal to to wife for a BD and X 4 BD to this implies x is equal to Y finally in triangle abc sum of angles is equal to 180 degree which implies angle A + Angle B + angle C is equal to 180 degree from this we can write 2 X + 2 Y + Y is equal to 180 degree |

04:00 - 04:59 | which implies 2 X + 2 X + x is equal to 180 degree because x is equal to Y has been proved above so we get 5 x is equal to 180 degree which implies x is equal to 36 degree finally angle BAC will be equal to 2 X and that is 2 into 36 degree which is equal to 72 degree so our final answer we can write therefore answer is option A 72 degree I hope your one stop destination thank you |