If an angle in standard position has a measure of $95°$, what is the measure of its supplement?

• A. $85°$
• B. $95°$
• C. $190°$
• D. $90°$

Answer: (A)

Verified step by step guidance

1. Recall that two angles are supplementary if the sum of their measures is 180 degrees.
2. Let the given angle be \( \theta = 95^\circ \). We want to find its supplement, which we'll call \( \phi \).
3. Set up the equation for supplementary angles: \( \theta + \phi = 180^\circ \).
4. Substitute the known value: \( 95^\circ + \phi = 180^\circ \).
5. Solve for \( \phi \) by subtracting 95 degrees from both sides: \( \phi = 180^\circ - 95^\circ \).