Chapter G, Problem 1E

To determine

The complementary angle of ${19}^o$.

Answer to Problem 1E

Solution:

${71}^o$

Explanation of Solution

Concept:

Complementary angles:

If the sum of the two angles is ${90}^o$ then the angles are known as complementary angles.

Supplementary angles:

If the sum of the two angles is ${180}^o$ then the angles are known as supplementary angles.

Calculation:

Two angles are complementary if the sum of their measures is ${90}^o$.

The complement of a ${19}^o$ angle is ${90}^o-{19}^o={71}^o$.

Check:

${19}^o+{71}^o={90}^o$

Conclusion:

Therefore, the complement of a ${19}^o$ angle is ${71}^o$.