> > The measures of two complementary angles are x and 2x+12.

# The measures of two complementary angles are x and 2x+12.

## Find the measures of the angles

145 Views

### The measures of two complementary angles are x and 2x+12.

Find the measures of the angles

$$\alpha\ and\ \beta\ are\ complementary\ angles\ if\ \alpha+\beta=90^o. \\\\x+2x+12^o=90^o\\\\3x+12^o=90^o\ \ \ \ \ |subtract\ 12^o\ from\ both\ sides\\\\3x=78^o\ \ \ \ \ \ \ |divide\ bort\ sides\ by\ 3\\\\x=26^o\\\\2x+12^o=2\times26^o+12^o=52^o+12^o=64^o\\in\ another\ way\ 90^o-26^o=64^o\\\\^o\ and\ 64^o.$$