Answer:
x = 25°
m∠B = 65°
m∠C = 50°
Step-by-step explanation:
We know that a triangle's angles will be equal to 180;
65° + (3x - 10)° + (2x)° = 180°
3x° + 2x° - 10° = 115°
5x° = 125°
x = 25°
Now we can plug our x value into the expressions for ∠B and ∠C;
[B] 3x° - 10° becomes 3(25)° - 10° = 75° - 10 = 65°
[C] 2x° becomes 2(25)° = 50°
We can also check our work;
65° + 65° = 130°
130° + 50° = 180°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
