Question
Find the supplement \( \frac{2}{5} \) of \( 90^{\circ} \)
Ask by Bright Park. in Nigeria
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The supplement of \( \frac{2}{5} \) of \( 90^{\circ} \) is \( 144^{\circ} \).
Solution
To find the supplement of an angle, we subtract the angle from \( 180^{\circ} \).
Given that we need to find the supplement of \( \frac{2}{5} \) of \( 90^{\circ} \), we first calculate \( \frac{2}{5} \) of \( 90^{\circ} \):
\[
\text{Angle} = \frac{2}{5} \times 90^{\circ}
\]
Now, let's calculate this step by step:
1. Calculate \( \frac{2}{5} \times 90 \):
\[
\frac{2 \times 90}{5} = \frac{180}{5} = 36^{\circ}
\]
2. Now, find the supplement of \( 36^{\circ} \):
\[
\text{Supplement} = 180^{\circ} - 36^{\circ} = 144^{\circ}
\]
Thus, the supplement of \( \frac{2}{5} \) of \( 90^{\circ} \) is \( 144^{\circ} \).
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Simplify this solution Mind Expander
To find the supplement of an angle, you subtract that angle from \( 180^{\circ} \). However, in this case, you're looking for the supplement of \( \frac{2}{5} \) of \( 90^{\circ} \) first. First, calculate \( \frac{2}{5} \) of \( 90^{\circ} \): \[ \frac{2}{5} \times 90^{\circ} = \frac{180}{5}^{\circ} = 36^{\circ} \] Now, to find the supplement, subtract \( 36^{\circ} \) from \( 180^{\circ} \): \[ 180^{\circ} - 36^{\circ} = 144^{\circ} \] Thus, the supplement of \( \frac{2}{5} \) of \( 90^{\circ} \) is \( 144^{\circ} \).
