Final answer:
The remaining two angles of the triangle are 45 degrees and 85 degrees.
Step-by-step explanation:
Let's denote the three angles of the triangle as A, B, and C.
We are given that angle A is 65 degrees, and the differences between the remaining two angles is 20 degrees.
So, we can express the remaining two angles as:
- B = A - 20
- C = A + 20
Substituting the given value for angle A, we get:
- B = 65 - 20 = 45 degrees
- C = 65 + 20 = 85 degrees
Therefore, the remaining two angles are B = 45 degrees and C = 85 degrees.
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