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Find the supplement of (2p - 40°).

October 24, 2026Mathematics

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Answer

220^\circ - 2p

3 steps

Understand the definition of a supplementary angle.
Two angles are supplementary if their sum is $180^\circ$ . If an angle is $\theta$ , its supplement is $180^\circ - \theta$ .
Substitute the given angle into the formula for the supplement.
The given angle is $(2p - 40^\circ)$ .
$\text{Supplement} = 180^\circ - (2p - 40^\circ)$
Simplify the expression.
Distribute the negative sign to both terms inside the parenthesis.
$\text{Supplement} = 180^\circ - 2p + 40^\circ$
Combine the constant terms.
$\text{Supplement} = (180^\circ + 40^\circ) - 2p$ $\text{Supplement} = 220^\circ - 2p$
The supplement of $(2p - 40^\circ)$ is $\boxed{220^\circ - 2p}$ .

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