Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions


In the figure, if PB=QC=DR, then we can deduce that DR = QR. This means PQ = QR and the triangle PQR is right as there is a 90degree angle.  Since the two sides are equal, they are isosceles. So the angles PQR and QRP must be the same. Since three angles' sum is 180, the angles are of measure (180 - 90) / 2 = 45degrees.

Hence proved.
2 5 2
The line BQC is a straight line.
So angle BQP+ angle PQR + angle CQR =180 degrees.
and angle BQP+ angle PQR +angle BPQ=180 degrees.
NOW [angle BQP+angle BPQ] +angle PQR=180 degrees.
180-angle PBQ +angle PQR=180 degrees.[due to angle sum property]
180-90+angle PQR=180 degrees
angle PQR=90 degrees
so it is proved that traingle PQR is an isosceles triangle.
and thats why angle QPR =45 degrees.
hence proved..

hope this helps u....................^_^
1 5 1
pres the thanks button and mark it as d brainliest if helpful
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts