What is the value for x?

Enter your answer in the box.

x =

Image shows isosceles triangle A B C with angle C and side A B congruent to side C B. Angle measure measures 69 degrees. Angle B measures 5 x plus 2 degrees. Angle C measures 9 y minus 3 degrees.

From the diagram above, since the triangle is an isosceles triangle and side AB is congruent to side CB, then angle A must be equal to angle B.

angle A = angle C

69° = 9y - 3

To get the value of y, we add 3 to both-side of the equation and then divide both-side of the equation by 9

69 + 3 = 9y -3 + 3

72 = 9y

Divide both-side of the equation by 9

72/9 = 9y/9

8 = y

y =8

But what we are looking for is x;

69° + (9y -3)° + (5x + 2)° = 180 ° ( sum of angle in a triangle)

To get the value of x, we will substitute y=8 in the equation above and then simplify

69 + 9(8) - 3 + 5x + 2 = 180

69 + 72 - 3 + 5x + 2 = 180

138 + 5x + 2 = 180

140 + 5x = 180

subtract both-side of the equation by 140

140 - 140 + 5x = 180 -140

5x = 40

Divide both-side of the equation by 5

5x/5 = 40/5

x = 8

Therefore the value of x is 8

What is the value for x? Enter your answer in the box. x = Image shows isosceles triangle A B C with angle C and side A B congruent to side C B. Angle measure measures 69 degrees. Angle B measures 5 x plus 2 degrees. Angle C measures 9 y minus 3 degrees.

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What is the value for x?

Enter your answer in the box.

x =

Image shows isosceles triangle A B C with angle C and side A B congruent to side C B. Angle measure measures 69 degrees. Angle B measures 5 x plus 2 degrees. Angle C measures 9 y minus 3 degrees.