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adell [148]
3 years ago
12

Solve for x using the image shown below:

Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

All angles are equal in an equilateral triangle

180/3 = 60

4x - 20 = 60

4x = 80

x = 20

mario62 [17]3 years ago
7 0

<u>Given</u>:

The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.

The measure of one angle is (4x - 20)°

Since, it is an equilateral triangle, then all the three sides will be equal.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the triangle sum property.

Thus, we have;

(4x-20)^{\circ}+(4x-20)^{\circ}+(4x-20)^{\circ}=180^{\circ}

Simplifying, we have;

4x-20+4x-20+4x-20=180

Adding the like terms, we have;

12x-60=180

       12x=240

           x=20

Thus, the value of x is 20

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