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Answer:
25, 50, and 105.
Step-by-step explanation:
Let the first angle be A, the second angle be B, and the third angle be C.
First, the sum of the three angles in a triangle is 180. Thus:
We know that the measure of A is twice the measure of B. Thus:
And the measure of C is 80 more than the measure of B. So:
Let's substitute A and C into the original equation:
Now, let's solve for the second angle (B). Combine like terms:
Subtract 80 from both sides:
Divide both sides by 4:
So, the second angle is 25 degrees.
This means that the first angle is 2(25) or 50 degrees.
And the third angle is 80+25 or 105 degrees.
And we're done!
The angles are 25, 50, and 105.