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Question

Write the supplement angle of:

(iv). \((20^\circ+y^\circ)\)

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Solution

Step: Finding the supplementary angle

We know that, two angles are said to be supplementary if their sum is \(180^\circ\).

Let, supplement angle of \((20^\circ+y^\circ)\) be \(x^\circ\).

\( \therefore x^\circ+(20^\circ+y^\circ)=180^\circ\)

\(\Rightarrow x^\circ =180^\circ−(20^\circ+y^\circ) \)

\(\Rightarrow x^\circ=180^\circ−20^\circ−y^\circ\)

\(\Rightarrow x^\circ =(160^\circ−y^\circ) \)

\(\therefore x^\circ=(160−y)^\circ\)

Hence, supplementary angle of \((20^\circ+y^\circ) \) is \((160−y)^\circ\).

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