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

Note: please input a real number in the following blank.
The value of x is

User Al Mahdi
by
8.1k points

1 Answer

14 votes

Answer:

x = 23°

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°

User Alex Heyd
by
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