An angle measures 14.4° more than the measure of a complementary angle. What is the measure of each angle?
+5478 Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x.
Therefore, you would set up this problem as:
x + (x + 14.4) = 90
2x + 14.4 = 90
2x = 75.6
x = 37.8 (one angle)
And (x + 14.4) = 52.2 (other angle).
To check: $${\mathtt{37.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{52.2}} = {\mathtt{90}}$$
+5478 Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x.
Therefore, you would set up this problem as:
x + (x + 14.4) = 90
2x + 14.4 = 90
2x = 75.6
x = 37.8 (one angle)
And (x + 14.4) = 52.2 (other angle).
To check: $${\mathtt{37.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{52.2}} = {\mathtt{90}}$$
