My favourite question on the problem solving sheet was question 7. I like this question because I enjoy solving problems with angles and degrees because you have to figure out the value of different angles and use angle rules to find x.
To solve this puzzle first it's important to know that the triangle is an is Isosceles triangle. Therefore AB = AC and ABC=ACB.
First you do 180-40= 140/2 = 70, so both of the two angles are = 70.
Due to the supplementary angle rule ACB+x+x = 180.
So you do 180- 70= 110 and because there are two x's that are the same value, you divide 110 by 2.
Therefore x= 55.
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