30 points
What is the value of y?
Enter your answer in the box.
y =
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Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, angle B and angle C have the same measure. If angle B is 75, then so is angle C. By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. That means that angle A = 180 - 75 - 75 which is 30 degrees. Therefore,
Angle A = 30 degrees. By the substitution property of equality,
4y + 10 = 30 and
4y = 20 so
y = 5