Li Klein
08/18/2024 · Primary School
(a) An angle measures \( 52^{\circ} \). What is the measure of its complement? (b) An angle measures \( 105^{\circ} \). What is the measure of its supplement? measure of the complement:
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(a) The measure of the complement of an angle is found by subtracting the angle from \( 90^{\circ} \).
For an angle measuring \( 52^{\circ} \):
\[
\text{Complement} = 90^{\circ} - 52^{\circ} = 38^{\circ}
\]
(b) The measure of the supplement of an angle is found by subtracting the angle from \( 180^{\circ} \).
For an angle measuring \( 105^{\circ} \):
\[
\text{Supplement} = 180^{\circ} - 105^{\circ} = 75^{\circ}
\]
So, the answers are:
- Measure of the complement: \( 38^{\circ} \)
- Measure of the supplement: \( 75^{\circ} \)
Quick Answer
(a) Complement: \( 38^{\circ} \)
(b) Supplement: \( 75^{\circ} \)
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