Question

Solve for y. Enter your answer in the box. y = An equilateral triangle A B C. Side A B is the base. Sides A B, B C, and A C are equal. Sides A B, B C, and A C are labeled with single tick marks. Angle B is labeled as left parenthesis 3 x minus 3 right parenthesis degrees, and angle C is labeled as left parenthesis 8 y minus 4 right parenthesis degrees.

Answer 1

Answer:

y = 8 And ∠A = ∠B = ∠C = 60°

Step-by-step explanation:

Given ABC is an equilateral triangle having AB=BC=AC.

∠A = ∠B = ∠C

∠B = 3x-3   ∠C = 8y-4

∴ ∠A = 3x-3

We know that the sum of all the angles of a triangle is 180°.

$Solution\ 8y-4=3x-3=8y-3x=1 \ equation\ 1\\3x-3+3x-3+8y-4=180$

$3x-3+4y-2=90\\3x+4y=95\ equation\ 2$

Now adding equation 1 and 2 we get ;

$12y=96\\y=8$

Now substituting the value of y we get measure of  ∠C.

$\angle C = 8y-4 = 8 \times 8 - 4 = 60\°$

∴∠A = ∠B = ∠C = 60°