Answers:
x = 7
The measure of angle D is 14 degrees
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Angle C and angle D are complementary, which means they add to 90 degrees.
(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7
So you have the correct x value. Nice work.
Now use this x value to find the measure of angle D
angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees
Yes it is equivalent because you need to isolate the y so divide by 5 on both sides and 23 divided by 5 is 4.6
The value of x for both angles to be vertically opposite is 27
<h3>Vertical angles</h3>
The measure of vertical angles are equal and they are angles that meet at the point of intersection of two lines.
In order to determine the value of x, we will equate both angles to have;
2x = 54
Divide both sides by 2
2x/2 = 54/2
x = 27
Hence the value of x for both angles to be vertically opposite is 27
Learn more on vertical angles here; brainly.com/question/4191966
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1.51 as
50/33=1.51
The .51 are recurring aswell
