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I need help with Geometry!

Doesn’t anyone know how to solve this?

I need help with Geometry! Doesn’t anyone know how to solve this?-example-1
User DougR
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1 Answer

5 votes

Answer:

94 degrees (unless the problem is looking for the value of x, in which the answer would be 30)

Explanation:

Angles 2 and 3 are called vertical angles, and vertical angles in geometry are always equal to each other.

We know that angle 2 is 4x - 26 and angle 3 is 3x + 4, so we set these equal to each other:

4x - 26 = 3x + 4

Now, we just solve by isolating the variable:

4x - 3x = 4 + 26

x = 30

I'm assuming the question is to find the measure of angles 2 and 3. To do so, we plug in our value of 30 in for x for either angle 2 or angle 3 (I'm just going to arbitrarily do angle 2; if you do it with angle 3, you should get the same answer):

4 * 30 - 26 = 120 - 26 = 94 degrees.

Thus, the answer is 94 degrees (unless the problem is looking for the value of x, in which the answer would be 30).

User Druxtan
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