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BD bisects <adc, m<1=5x-3, and m<2=x+25. find the value of X

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Sra

I don't know help me!!!!!

To find the value of x, we can set the two angles equal to each other and solve for x.

Given: m<1 = 5x - 3 (angle <adc) and m<2 = x + 25 (angle <bad)

Since BD bisects <adc, it means that <bad and <cad are congruent. Therefore, their angle measures are equal.

So, we can set up the equation:

5x - 3 = x + 25

Let's solve it step-by-step:

1. Subtract x from both sides to isolate the variable x:

5x - x - 3 = x - x + 25
4x - 3 = 25

2. Add 3 to both sides:

4x - 3 + 3 = 25 + 3
4x = 28

3. Divide both sides by 4 to solve for x:

4x/4 = 28/4
x = 7

Therefore, the value of x is 7.