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Both angles are vertically opposite and have equal measures. By solving for x, we find x = 7, which means both angles measure 66 degrees each. The correct option is B).
In this case, if the two angles are vertically opposite, it means they are congruent (equal) to each other. Therefore, both angles have the same measure.
If the two angles have measures represented by 12x - 18 and 8x + 10, then we can set them equal to each other:
12x - 18 = 8x + 10
Now, let's solve for x:
12x - 8x = 10 + 18
4x = 28
x = 28 / 4
x = 7
Now that we've found the value of x, we can find the measure of each angle:
Angle 1: 12x - 18 = 12(7) - 18 = 84 - 18 = 66 degrees
Angle 2: 8x + 10 = 8(7) + 10 = 56 + 10 = 66 degrees
So, both angles measure 66 degrees each.
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Rewritten by : Barada
Answer:
Step-by-step explanation:
opposite angles are equal
12x - 18 = 8x + 10
combine similar terms:
12x - 8x = 10 + 18
4x = 28
x = 28/4
x = 7
plugin the value of x=7 back into the equation to solve the angle
= 12x - 18
= 12(7) - 18
= 66
= 8x + 10
= 8(7) + 10
= 66
