Question

please some one tell me the answer to this question with proper explanation ​

Answer 1

Answer:

∠ABC = 56° ; ∠CBR = 124° ; ∠RBP = 56° ; ∠PBA = 124°

Step-by-step explanation :

To find ∠ABC :

Given that, ∠ABP = ACQ

Then, (180 - B) = ( 180 - C)

cancelling 180 from both sides, we get : B = C

∠A + ∠B + ∠C = 180° (Angle sum property)

∠A + 2∠B = 180°

∠B = (180° - 68°)÷2

∠B = 112÷2 = 56°

To find ∠CBR :

∠CBR = 180° - ∠B (Linear Pair)

To find ∠RBP :

∠RBP = 56° (Vertically opp. to ∠B)

To find ∠PBA:

∠PBA = 124° (∠ABP = ACQ given)

Hope it helps! Thank You