Answer:
x=40, ∠ACB=125, ∠ACD= 55
Step-by-step explanation:
In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.
With this information, we can conclude 3x+5+2x-25=180.
To solve this equation for x,
1. Combine like terms
5x-20=180
2. Add 20 to both sides
5x=200
3. Divide both sides by 5.
x=40
Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.
1. ∠ACB: 3(40)+5
120+5
∠ACB = 125
2. ∠ACD: 2(40)-25
80-25
∠ACD = 55
