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Write an equation to solve for the value of x and then determine the measure of each marked angle.

3x + 10
3x-28

Write an equation to solve for the value of x and then determine the measure of each-example-1
User Jim U
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Answer: To solve for the value of x and determine the measure of each marked angle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Here's how to do it:

Set up an equation to solve for x:

The sum of the three angles in a triangle is 180 degrees, so we can write:

(3x + 10) + (3x - 28) + (angle marked as "x") = 180

Simplify the equation:

Combining like terms, we get:

6x - 18 + x = 180

Simplifying further, we get:

7x - 18 = 180

Solve for x:

Adding 18 to both sides, we get:

7x = 198

Dividing both sides by 7, we get:

x = 28

So the value of x is 28.

Determine the measure of each marked angle:

Now that we know x, we can substitute it back into the original expressions for the marked angles:

3x + 10 = 3(28) + 10 = 94

3x - 28 = 3(28) - 28 = 56

So the measures of the marked angles are 94 degrees and 56 degrees, respectively.

Explanation:

User Performanceuser
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