SOLUTION: What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is the base. Sides A B and A C are equal. S

Algebra ->  Triangles -> SOLUTION: What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is the base. Sides A B and A C are equal. S      Log On


   

Question 1103272: What is the value of y?

Enter your answer in the box.
y =
An isosceles triangle with vertices labeled A, B, and C. Side B C is the base. Sides A B and A C are equal. Sides A B and A C are labeled with single tick marks. Angle A is labeled as left parenthesis 4 y plus 10 right parenthesis degrees, angle B is labeled as 75 degrees, and angle C is labeled as left parenthesis 3 x right parenthesis degrees.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If using A, B, C, as variables for the measure of the corresponding interior angles, and A is the vertex point, B and C are the base angles, triangle isosceles, then:
system%28A=4y%2B10%2CB=75%2CC=3x%29

Angle mesures at B and C are equal (base angles of isosceles triangle).
B=C
75=3x
highlight%28x=25%29

What about A?
Both B and C each is 75 degrees.
A%2B75%2B75=180, sum of interior angles of any triangle;
A=180-75-75
A=180-150
highlight_green%28A=30%29
and you wer given an expression for measure of angle A.
4y%2B10=30
4y=20
highlight%28y=5%29