Question

What is the value of x? Enter your answer in the box. x = Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 4 x minus 30. The length of side A B is labeled as 3 x minus 5. The length of side B C is labeled as 2 x plus 20.

Answer 1

Equiangular triangle is a triangle where all the angles are congruent/equal/the same.  An equiangular triangle is the same as an equilateral triangle because an equilateral triangle has 3 congruent angles and 3 congruent sides.

Since the angles are the same, the sides are also the same.

Side AC = 4x - 30

Side AB = 3x - 5

Side BC = 2x + 20

To find "x", you can set the sides equal to each other because they are all suppose to be the same length (you can just do two sides, it does not matter which sides)

Side AC = Side AB

4x - 30 = 3x - 5    Add 30 on both sides

4x = 3x + 25    Subtract 3x on both side

x = 25

[proof]

Side AC =

4x - 30

4(25) - 30

100 - 30 = 70        Length is 70

Side AB =

3x - 5

3(25) - 5

75 - 5 = 70      Length is 70

Side BC =

2x + 20

2(25) + 20

50 + 20 = 70      Length is 70

Answer 2

Answer:

25

Step-by-step explanation:

i took the quiz and got it correct