What is the value for y? enter your answer in the box.

y = 28

The base angles of the isosceles triangle are congruent, so the sum of angles is ...

34° + 34° + 4y° = 180°

... 4y = 180 -68 . . . . . divide by °, subtract 68

... y = 112/4 = 28 . . . . divide by the coefficient of y

The value for y is 28.

You have not asked about x in either figure.

First figure

Since the angles are congruent, the sides are congruent. Then ...

... 6x -3 = 5x

... x = 3 . . . . . . add 3-5x

Second figure

The base angles of the isosceles triangle are congruent, so

... 34° = (x -5)°

... 34+5 = x = 39 . . . . . . . divide by °, add 5.