Questions: Finding supplementary and complementary angles (a) An angle measures 99°. What is the measure of its supplement? (b) An angle measures 25°. What is the measure of its complement? measure of the supplement: ° measure of the complement:

Finding supplementary and complementary angles
(a) An angle measures 99°. What is the measure of its supplement?
(b) An angle measures 25°. What is the measure of its complement?
measure of the supplement:
°
measure of the complement:

Transcript text: $=$ Finding supplementary and complementary angles (a) An angle measures $99^{\circ}$. What is the measure of its supplement? (b) An angle measures $25^{\circ}$. What is the measure of its complement? measure of the supplement: $]^{\circ}$ measure of the complement: $\square$

Solution

Solution Steps

To find the supplementary angle, subtract the given angle from $180^\circ$. For the complementary angle, subtract the given angle from $90^\circ$.

Step 1: Finding the Supplement of $99^\circ$

To find the supplementary angle of $99^\circ$, we use the formula: \[ \text{Supplement} = 180^\circ - \text{Angle} \] Substituting the given angle: \[ \text{Supplement} = 180^\circ - 99^\circ = 81^\circ \]

Step 2: Finding the Complement of $25^\circ$

To find the complementary angle of $25^\circ$, we use the formula: \[ \text{Complement} = 90^\circ - \text{Angle} \] Substituting the given angle: \[ \text{Complement} = 90^\circ - 25^\circ = 65^\circ \]

Final Answer

The measure of the supplement is $81^\circ$ and the measure of the complement is $65^\circ$. Thus, the final answers are: \[ \boxed{81^\circ} \] \[ \boxed{65^\circ} \]

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