Question

Two angles have measures of 63°15'47" and 116°44'13". The angles are

a. complementary
b. supplementary
c. neither complementary or supplementary

Answer 1

Complementary angles are angles in which the sum of the two angles is equal to 90 degrees, supplementary angles have a sum of 180 degrees. In this respect, we use a calculator and add the two angles and check the sum. The sum is equal to 180°0'0''. This means the answer should be B

Answer 2

we know that

Two angles are supplementary if the sum of their angles is equal to 180 degrees

and

Two angles are complementary if the sum of their angles equals 90 degrees

so

$63$°$15'47"$+$116$°$44'13"=180$° $00'00"$

remember that
$1$° is equal to $60$'
$1$' is equal to $60$''

therefore

the answer is the option

b. supplementary