Question

28. It is given that 2 ABC = 68° and AB is produced to a point P. Draw a figure from
the given information. If a ray BQ bisects 2 CBP, then find Z ABQ and reflex 2 QBP.​

Answer 1

Given :  given that ∠ABC = 68° and AB is produced to a point P. A ray BQ bisects 2 CBP,

To Find : ∠ABQ and reflex ∠QBP.​

Solution:

∠ABC = 68°

AB is produced to a point P

=> ∠CBP = 180° - 68°  = 112°  

∠CBP =  112°  

BQ bisects ∠CBP,

∠CBQ =  ∠QBP = (1/2)∠CBP

=> ∠CBQ =  ∠QBP = (1/2)112°

=>  ∠CBQ =  ∠QBP = 56°

∠ ABQ   = ∠ABC + ∠CBQ

=>  ∠ ABQ   = 68° + 56°

=> ∠ ABQ   = 124°

∠QBP = 56°

reflex   ∠QBP = 360° -  56°  = 304°

reflex   ∠QBP =  304°  

∠ ABQ   = 124°  , reflex   ∠QBP =  304°  

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Answer 2

Step-by-step explanation:

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