Finding the value of Y?

Question

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A. 55
B. 70
C. 110
D. 125

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A. 50
B. 65
C. 80
D. 130

Answer 1

PROBLEM 1:

Notice that the unspecified angle is supplementary to the 125 degree angle (they form a straight line). That means it will be 55 degrees. And since the sides of the triangle are the same, the base angles will be the same. Thus y will also be 55 degrees.

PROBLEM 2:

Notice that the two sides in the upper triangle are the same, so the base angles will be the same. One is 50, so the other will be 50. The angle next to this in the other triangle will also have to be 50 because they are formed from the same two lines.

Now you have 50 as the vertex angle and then two base angles. Again it is an isoceles triangle so these two other angles will be equal.

y + y + 50 = 180
2y = 180 - 50
2y = 130
y = 65

Answer 2

the first one is A=55
you have to do is just 180 - 125 you will get 55

the second one is B=65
180 - 50 = 130
the angle is Isosceles so 130/2 = 65

Answer 3

question 1: A:55
125 + _ = 180.
its iscosceles, so the two bottom angles are equivilent.

question 2: A:50
alternate interior angles.