Which pair of angles are supplementary? 69^(@) and 133^(@) 106^(@) and 74^(@) 44^(@) and 129^(@) 97^(@) and 93^(@) None of these are correct.

Define Supplementary Angles: Define what supplementary angles are. Supplementary angles are two angles whose measures add up to 180 degrees. We will check each pair of angles to see if their sum equals 180 degrees.Check First Pair: Add the measures of the first pair of angles (69° and 133°) to see if they are supplementary. 69° + 133° = 202° Since the sum is not equal to 180°, this pair is not supplementary.Check Second Pair: Add the measures of the second pair of angles (106° and 74°) to see if they are supplementary. 106° + 74° = 180° Since the sum is equal to 180°, this pair is supplementary.Check Third Pair: There is no need to check the remaining pairs since we have already found a pair that is supplementary. However, for completeness, we will check the third pair (44° and 129°). 44° + 129° = 173° Since the sum is not equal to 180°, this pair is not supplementary.Check Fourth Pair: Check the fourth pair (97° and 93°) to confirm if they are supplementary or not. 97° + 93° = 190° Since the sum is not equal to 180°, this pair is not supplementary.

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Which pair of angles are supplementary?

69^(@) and
133^(@)

106^(@) and
74^(@)

44^(@) and
129^(@)

97^(@) and
93^(@)
None of these are correct.

Which pair of angles are supplementary? $\newline$ A) $69^{\circ}$ and $133^{\circ}$ $\newline$ B) $106^{\circ}$ and $74^{\circ}$ $\newline$ C) $44^{\circ}$ and $129^{\circ}$ $\newline$ D) $97^{\circ}$ and $93^{\circ}$ $\newline$ E)None of these are correct.

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Math Problems

Algebra 2

Find trigonometric ratios using reference angles

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Q. Which pair of angles are supplementary?

\newline

69^{\circ}

and

133^{\circ}

\newline

106^{\circ}

and

74^{\circ}

\newline

44^{\circ}

and

129^{\circ}

\newline

97^{\circ}

and

93^{\circ}

\newline

E)None of these are correct.

Define Supplementary Angles: Define what supplementary angles are. Supplementary angles are two angles whose measures add up to $180^\circ$ . We will check each pair of angles to see if their sum equals $180^\circ$ .
Check First Pair: Add the measures of the first pair of angles ( $69°$ and $133°$ ) to see if they are supplementary. $\newline$ $69° + 133° = 202°$ $\newline$ Since the sum is not equal to $180°$ , this pair is not supplementary.
Check Second Pair: Add the measures of the second pair of angles ( $106^\circ$ and $74^\circ$ ) to see if they are supplementary. $\newline$ $106^\circ + 74^\circ = 180^\circ$ $\newline$ Since the sum is equal to $180^\circ$ , this pair is supplementary.
Check Third Pair: There is no need to check the remaining pairs since we have already found a pair that is supplementary. However, for completeness, we will check the third pair ( $44^\circ$ and $129^\circ$ ). $\newline$ $44^\circ + 129^\circ = 173^\circ$ $\newline$ Since the sum is not equal to $180^\circ$ , this pair is not supplementary.
Check Fourth Pair: Check the fourth pair ( $97^\circ$ and $93^\circ$ ) to confirm if they are supplementary or not. $\newline$ $97^\circ + 93^\circ = 190^\circ$ $\newline$ Since the sum is not equal to $180^\circ$ , this pair is not supplementary.