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The angle measures of triangle ABC are given:

The measure of angle A is (2x−10)°.
The measure of angle B is 70°.
The measure of angle C is (4x)°.
What is the value of x?

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x =

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Answer:

x=20

Step-by-step explanation:

By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:

2x-10+70+4x=180

Combine Like terms

6x+60=180

Subtract 60 from both sides

6x=120

Divide by 6 to isolate the variable

x=20

Answer:x= 20

Step-by-step explanation:

As the equation of three angles of a triangle is 180°,

Then, 2x-10+70+4x=180

6x=120

So,x= 20

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