Answer: x = 34°
Explanation:
As per definition, complementary angles add up 90°.
In the figure you see angle A measures x + 22° and angle B measures x.
Therefore, according to the definition, you can set this equation:
x + 22° + x = 90°
Solve for x:
- start: x + 22 + x = 90
- combine like terms: 2x + 22 = 90
- subraction property: 2x = 90 - 22
- do the operation: 2x = 68
- division propery: x = 68/2
- do the operation: x = 34
Answer: x = 34°
