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).