Question
Question 2 (1 point) \( \begin{array}{l}\text { The measure of angle } B=100.5^{\circ} \text {. Determine the measure of the supplement of angle } \\ \text { B. } \\ 79.5^{\circ} \\ 10.5^{\circ} \\ 25.5^{\circ} \\ 97.5^{\circ}\end{array} \)
Ask by Bob Mejia. in the United States
Nov 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The supplement of angle \(B\) is \(79.5^\circ\).
Solution
The supplement of an angle is found by subtracting the angle from \(180^\circ\).
Given that the measure of angle \(B\) is \(100.5^\circ\), we can calculate the supplement as follows:
\[
\text{Supplement of angle } B = 180^\circ - 100.5^\circ = 79.5^\circ
\]
Therefore, the measure of the supplement of angle \(B\) is \(79.5^\circ\).
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Simplify this solution Mind Expander
To find the supplement of angle \( B \), we need to remember that supplementary angles add up to \( 180^{\circ} \). So, we simply subtract the measure of angle \( B \) from \( 180^{\circ} \): \( 180^{\circ} - 100.5^{\circ} = 79.5^{\circ} \). Thus, the measure of the supplement of angle \( B \) is \( 79.5^{\circ} \). For those looking to take their understanding a step further, did you know that finding supplements and complements is essential in fields like architecture and engineering? Knowing these angles helps in creating precise plans and ensures structures are safe!
