Answer:
30°, 75°, and 75°
Step-by-step explanation:
You need to know that triangle angle measures ALWAYS add up to 180°.
You need to know that ratios tell you how many total parts there are.
Here, the angles are 2 parts, to 5 parts, to 5 parts. That means there are 12 total parts (2 + 5 + 5 = 12).
We divide 180° by 12 to determine how much each part is of the triangle.
180°/12 = 15°
So each part is 15°.
The first angle is 2 parts, so 15°(2) = 30°
The next two angles are both 5 parts, so 15°(5) = 75°
So the angles are 30°, 75°, and 75°
Check your work: We can see that 30° + 75° + 75° = 180°, so we know we have the right answer!
