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In the diagram, square ABCD has sides of length 4, and triangle ABE is equilateral. Line segments BE and AC intersect at P. Point Q is on BC so that PQ is perpendicular to BC and PQ=x.

 

 

Determine the measure of angle BPC.

 Dec 2, 2018

Best Answer 

 #1
avatar+17332 
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Let's look at triangle BPC

Angle C is 45 degrees (bisected by the diagonal)

Angle ABE is 60 degrees due to equilateral triangle so angle B = 30 degrees

180 -30 - 45 = angle BPC = 105 degrees

 Dec 2, 2018
 #1
avatar+17332 
+2
Best Answer

Let's look at triangle BPC

Angle C is 45 degrees (bisected by the diagonal)

Angle ABE is 60 degrees due to equilateral triangle so angle B = 30 degrees

180 -30 - 45 = angle BPC = 105 degrees

ElectricPavlov Dec 2, 2018

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