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Two complementary angles equal 90.

If angle 1’s complementary angle is 80, then angle 1 is 10 (90-80=10)

The three angles of a triangle need to equal 180.

Angle 3 = 180 - angle 1 - angle 2

Angle 3 = 180 - 10 - 80 = 90

Angle 3 = 90 degrees