SOLUTION: Triangle ABC has a 53-degree angle at A, and its circumcenter is at K. Draw a good picture of this triangle, and measure the size of angle BKC. Be prepared to describe the process

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Question 1155227: Triangle ABC has a 53-degree angle at A, and its circumcenter is at K. Draw a good picture of this triangle, and measure the size of angle BKC. Be prepared to describe the process you used to find K. Measure the angles B and AKC of your triangle. Measure angles C and AKB. Make a conjecture about arcs intercepted by inscribed angles. Justify your assertion.
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!

step I
draw a triangle with Step II
On AB and AC draw perpendicular bisectors
.
The point the intercept is the circum centre.
Step III
With this as centre draw a circle passing through all vertices
< a is intercepted by Arc BC
< A is the inscribed angle
The same argument holds good for B & C