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One angle of a triangle is 65 degree find the remaining two angles if their differences to 20 degree

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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:

  1. B = A - 20
  2. C = A + 20

Substituting the given value for angle A, we get:

  1. B = 65 - 20 = 45 degrees
  2. C = 65 + 20 = 85 degrees

Therefore, the remaining two angles are B = 45 degrees and C = 85 degrees.


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