Hello there! I can help you! So there are three angles shown on the table, which means that the shape is a triangle. A triangle has 180°. We know that Angle A measures 65°. We can subtract that number from 180 to see what remains. 180 - 65 is 115. 115° is between the other two angles. To find the measurement of the other two angles, we can write and solve a proportion. Set it up like this:
5x - 10 = 115
We do this because we are combining like terms and simplifying the expressions. 3x + 2x is 5x. The expression above is simplified. Now, let's add 10 to both sides to cancel out the -10. 115 + 10 is 125. That leaves us with 5x = 125. Now, let's divide each side by 5 to isolate the x. 5x/5 cancels out. 115/5 is 25. Let's plug in the value to see if it works. 25 * 3 is 75. 75 - 10 is 65. 25 * 2 is 50. 65 + 50 = 115. 115 = 115. 115 + 65 is 180. There. x = 25, Angle B is 65°, and Angle C is 50°. Your answer is correct.