find the measure of angles which is 69 degrees more than one third of its supplement
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Step-by-step explanation:
Two angles A and B are complimentary if their sum is 90°.
=> A + B = 90′
=> A is complementary to B
Two angles C and D are supplimentary if their sum is 180°.
=> C + D = 180′
=> C is supplementary to D.
Now, let one angle be A.
Complement of A = 90° - A
Supplementary of A = 180° - A
Given 90° - A = (180° - A)/3
270° - 3A = 180° - A
2A = 90°
A = 45°
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