Question

write the supplements of these angles.

1. 109°56
2. 178°921

Explanation:

Step1: Recall the formula for supplementary angles

Supplementary angles add up to \(180^{\circ}\). So, if an angle is \(\alpha\), its supplement is \(180^{\circ}-\alpha\).

Step2: Calculate the supplement of \(109^{\circ}56'\)

We know that \(180^{\circ}=179^{\circ}60'\). Then \(180^{\circ}- 109^{\circ}56'=(179^{\circ}60')-(109^{\circ}56')\).

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Step3: Calculate the supplement of \(178^{\circ}9'21''\)

We know that \(180^{\circ}=179^{\circ}59'60''\). Then \(180^{\circ}-178^{\circ}9'21''=(179^{\circ}59'60'')-(178^{\circ}9'21'')
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Answer:

The supplement of \(109^{\circ}56'\) is \(70^{\circ}4'\) and the supplement of \(178^{\circ}9'21''\) is \(1^{\circ}50'39''\)