Question

Tell whether each pair of angle measurements are complementary, supplementary or neither.  36°,24°  18°,72°  96°,84°

Answer 1

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

$36^\circ+24^\circ =60^\circ$

So, this pair is neither complementary not supplementary.

For 18° and 72°,

$18^\circ+72^\circ =90^\circ$

So, this pair is complementary.

For 96° and 84°,

$96^\circ+84^\circ =180^\circ$

So, this pair is supplementary.