(90-a)+(180-a)=180

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Solution for (90-a)+(180-a)=180 equation:


Simplifying
(90 + -1a) + (180 + -1a) = 180

Remove parenthesis around (90 + -1a)
90 + -1a + (180 + -1a) = 180

Remove parenthesis around (180 + -1a)
90 + -1a + 180 + -1a = 180

Reorder the terms:
90 + 180 + -1a + -1a = 180

Combine like terms: 90 + 180 = 270
270 + -1a + -1a = 180

Combine like terms: -1a + -1a = -2a
270 + -2a = 180

Solving
270 + -2a = 180

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-270' to each side of the equation.
270 + -270 + -2a = 180 + -270

Combine like terms: 270 + -270 = 0
0 + -2a = 180 + -270
-2a = 180 + -270

Combine like terms: 180 + -270 = -90
-2a = -90

Divide each side by '-2'.
a = 45

Simplifying
a = 45

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