The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Only 3(a−b) and 3a−3b are equivalent
Further explanation:
We have to evaluate each expression to evaluate if the expressions are equivalent or not.
So,
<u>For 3(a−b)</u>

As we can see that 3(a-b) results in 3a-3b so these are equivalent
<u>For 2a(2+b)</u>

As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent
Hence,
Only 3(a−b) and 3a−3b are equivalent
Keywords: Equivalent expression, Polynomials
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In a parallelogram, opposite angles are congruent.
Since angles z and 124° are opposite angles in the parallelogram, they are congruent angles.
Therefore we have:
Answer:
44°
Step-by-step explanation:
8x - 4 = 6x + 8 (This is because they are corresponding angles)
8x - 6x = 8 + 4
2x = 12
x = 12 ÷ 2
x = 6
6x + 8 = angle 1 (Vertically opposite angles are equal)
Substitute the value of x in the equation '6x +8' to get the size of the angle.
6 × 6 + 8
36 + 8 = 44°
Angle 1 = 44°