Answer:
m∠1 = 31°
m∠2 = 64°
m∠3 = 85°
Explanation:
We know that all triangle angles add up to 180°, so you can add the 3 angles provided together and equal it to 180.
(10x-5) + (15x+10) + (25x-5) = 180
You can remove the parenthesis, then combine like terms.
10x - 5 + 15x + 10 + 25x - 5 = 180
50x + 0 = 180
50x = 180
Now, you can divide both sides by 50 to find x.
50x ÷ 50 = 180 ÷ 50
x = 3.6
Now, to find each angle, replace x in the angle with 3.6
m∠1 = 10(3.6) - 5
m∠1 = 36 - 5
m∠1 = 31°
m∠2 = 15(3.6) + 10
m∠2 = 54 + 10
m∠2 = 64°
m∠3 = 25(3.6) - 5
m∠3 = 90 - 5
m∠3 = 85°
Hope this helps!