Question

The measures of the angles in ABC are given by the expressions in the table ​

Answer 1

x = 25°

m∠B = 65°

m∠C = 50°

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