Hello! I can help you! So we have three angles, which shows that it's a triangle. The sum of the angles of a triangle is 180°. What we know is that one of the angles measure 65°. Let's subtract that from 180. 180 - 65 is 115. To find the measurements of the other two angles, we can write and solve an equation. Set it up like this:
5x - 10 = 115
We do this, because we combine like terms from the two angles. 3x + 2x is 5x. When everything is combined right, that is the equation that we get. Let's add 10 to both sides to cancel -10 out. -10 + 10 cancels each other out. 115 + 10 is 125. That reduces the equation to 5x = 125. Now, divide each side by 5 to isolate the x. 5x/5 cancels out. 125/5 is 25. Let's plus 25 in as the value of x. 3 * 25 is 75. 75 - 10 is 65. 25 * 2 is 50. 65 + 50 is 115. 115 = 115. There. Here are your final answers:
x= 25
Angle B: 65°
Angle C: 50°
