Asked by Lola
In a square ABCD, point P is chosen inside ABCD and point Q outside ABCD such that APB and BQC are congruent isosceles triangles with angle APB = angle BQC = 80 degrees. T is a point where BC and PQ meet. Find the size of angle BTQ
Answers
Answered by
Steve
since triangles APB and BQC are isosceles with the same vertex angles, sides PB and QB are congruent.
That means triangle BPQ is isosceles, making T the midpoint of PQ.
Angles BTP and BTQ are right angles.
That means triangle BPQ is isosceles, making T the midpoint of PQ.
Angles BTP and BTQ are right angles.
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