SOLUTION: In triangle ABC the lines BQ and CR are perpendicular to AC and AB respectively. If BPC=100 degrees, then the size of A will be: A=40 degrees B=80 C=120 D=130 E=160

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Question 1163164: In triangle ABC the lines BQ and CR are perpendicular to AC and AB respectively. If BPC=100 degrees, then the size of A will be:
A=40 degrees B=80 C=120 D=130 E=160

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!


The drawing is to scale.

Since you are given angle BPC, you also know angle RPQ. 
You are also given angles ARP and AQP, if you know what the word
"perpendicular" means.

The sum on the 4 interior angles of any quadrilateral must have sum 360°.
You know the sum of the angles of quadrilateral ARPQ, so you can easily
determine angle A.

Edwin