earthfairy101
earthfairy101 earthfairy101
  • 20-12-2019
  • Mathematics
contestada

30 points

What is the value of y?

Enter your answer in the box.


y =

30 pointsWhat is the value of yEnter your answer in the boxy class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 21-12-2019

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

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