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irga5000 [103]
3 years ago
12

Given two complementary angles, 3x and (x - 2). Find the value of x.

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

x = 23°

Step-by-step explanation:

Note: Complementary angles measure 90°

3x + (x - 2)° = 90°

=> 3x + x - 2° = 90°

=> 4x - 2° = 90°

Add the additive inverse of -2 to both sides of the equation

i.e 4x - 2° + 2° = 90° + 2°

=> 4x = 92°

Divide both sides of the equation by the coefficient of x which is 4

=> 4x/4 = 92°/4

x = 23°

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