Question

1.6 angle pair relationships
name ________________
find the complement and supplement of the given angles.

1. ( 63^circ )

complement of ( 63^circ ) = _____

1. ( 124^circ )

supplement of ( 124^circ ) = _____

1. ( 135^circ )

supplement of ( 135^circ ) = _____

1. ( 13^circ )

complement of ( 13^circ ) = _____

1. ( 154^circ )

supplement of ( 154^circ ) = _____

1. ( 28^circ )

supplement of ( 28^circ ) = _____

1. ( 32^circ )

complement of ( 32^circ ) = _____

1. ( 51^circ )

complement of ( 51^circ ) = _____

Explanation:

1) Complement of \( 63^\circ \)

Step1: Recall complement formula

Complement of an angle \( \theta \) is \( 90^\circ - \theta \).

Step2: Substitute \( \theta = 63^\circ \)

\( 90^\circ - 63^\circ = 27^\circ \)

Step1: Recall supplement formula

Supplement of an angle \( \theta \) is \( 180^\circ - \theta \).

Step2: Substitute \( \theta = 124^\circ \)

\( 180^\circ - 124^\circ = 56^\circ \)

Step1: Recall supplement formula

Supplement of an angle \( \theta \) is \( 180^\circ - \theta \).

Step2: Substitute \( \theta = 135^\circ \)

\( 180^\circ - 135^\circ = 45^\circ \)

Answer:

\( 27^\circ \)

2) Supplement of \( 124^\circ \)