Question 814987: I have a triangle. The right side and the left side have a line showing they are congruent. The left hand corner of the triangle is 35 degrees. The right hand corner is x. And the top is y.
So it is a triangle with 3 spots. 2 in the corner, one on the top. The left corner is 35 degrees and the other two spots are x and y. Can you find the value of x and y.
Answer by gsmani_iyer(201)   (Show Source):
You can put this solution on YOUR website!
In a triangle, when left side and right side are congruent, then, that triangle is a isosceles triangle. So, as per the properties, the angles opposite to the congruent sides are also congruent. So, x = 35 degrees as left corner = 35 degrees.
The sum of the angles of a triangle = 180 degrees.
So, the bottom angles + top angle = 180 degrees.
i.e. 35 + 35 + y = 180 degrees. i.e. 70 + Y = 180 degrees.
Therefore, y = 180-70 degrees. i.e. y = 110 degrees.
I hope it is clear to you. All the best. Feel free to contact me at gsmani9@yahoo.com.
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