Question

2. The intersection of roads S and T Creates a 44.4° angle. What are the complementary and supplementary angles of this intersection

Answer 1

Part a) The complementary angle is
`45.6\°`

Part b) The supplementary angle is
`135.6\°`

Explanation:

Part A) Complementary angles

we know that

If two angles are complementary, then its sum is equal to 90 degrees

Let

x------> the complementary angle

`m>x+44.4\°=90\°`

Solve for m<x

`m>x=90\°-44.4\°=45.6\°`

Part B) Supplementary angles

we know that

If two angles are supplementary, then its sum is equal to 180 degrees

Let

x------> the supplementary angle

`m>x+44.4\°=180\°`

Solve for m<x

`m>x=180\°-44.4\°=135.6\°`