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If CD is a bisector of ACB in the diagram what is the mACB. Justify your answer and show all steps taken

If CD is a bisector of ACB in the diagram what is the mACB. Justify your answer and-example-1
User Foz
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1 Answer

6 votes

Answer:

ACB = 100 degrees.

Explanation:

Bisector means that the angle has been cut in 1/2. What that means is that each binomial has the same value. It means that they are equal.

Equation

15x - 25 = 60 - 2x Add 2x to both sides.

Solution

15x + 2x - 25 = 60 - 2x + 2x

17x - 25 = 60 Add 25 to both sides.

17x - 25+25 = 60+25

17x = 85 Divide by 17

17x/17 = 85/17

x = 5

That is not the answer, but it will get you the answer.

Use x = 5 to find the value of 60 - 2x

60 - 2*5

60 - 10

50

Since one of the angles inside ACB is 50 degrees, the other one must be equal to 50

The answer is ACB = 50 + 50 = 100

User Bergben
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