Find the measure of triangle ADC if A is (3x+2) degree, B is (4x-24) degree, C is (2x+2) degree and D is x+10 degree
I will assume you want the measure of the angles of triangle ADC
Well, the angles of a triangle must add up to 180°
Just noticed your given data makes no sense.
Where does angle B enter the picture?
You said "triangle ADC"
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To find the measure of triangle ADC, we need to know the sum of the angles of a triangle. The sum of the interior angles of a triangle is always 180 degrees.
So, let's write the equation based on the given angles:
A + B + C = 180
Substituting the given values:
(3x+2) + (4x-24) + (2x+2) = 180
Now, simplify and solve for x:
3x + 2 + 4x - 24 + 2x + 2 = 180
9x - 20 = 180
9x = 200
x = 200/9
Once we find the value of x, we can substitute it back into any of the given expressions to find the measure of any angle. Let's use angle D:
D = x + 10
Substituting the value of x:
D = (200/9) + 10
Now, we can simplify the expression to find the measure of angle D.