Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Sure! Let's go through each statement step-by-step.
1. Fill in the blanks for the given statements:
Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°. In other words, if you have two angles that add up to 90°, they are called complementary angles.
Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°. This means that if you add the measures of two angles and get 180°, they are considered supplementary angles.
2. Complete each statement:
- Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°.
- Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°.
3. The complement of a 30° angle has a measure of:
- To find the complement of a 30° angle, we subtract the angle from 90° (since complementary angles sum to 90°).
- The complement of a 30° angle is [tex]\(90° - 30°\)[/tex].
- So, the complement of a 30° angle is 60°.
4. The supplement of a 65° angle has a measure of:
- To find the supplement of a 65° angle, we subtract the angle from 180° (since supplementary angles sum to 180°).
- The supplement of a 65° angle is [tex]\(180° - 65°\)[/tex].
- So, the supplement of a 65° angle is 115°.
5. Opposite & Congruent:
- Vertical angles (created when two lines intersect) are opposite each other and are always congruent (they have the same measure).
So, in summary:
1. Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°.
2. Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°.
3. The complement of a 30° angle has a measure of:
- 60°.
4. The supplement of a 65° angle has a measure of:
- 115°.
5. Opposite & Congruent:
- Vertical angles are opposite each other and are congruent.
1. Fill in the blanks for the given statements:
Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°. In other words, if you have two angles that add up to 90°, they are called complementary angles.
Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°. This means that if you add the measures of two angles and get 180°, they are considered supplementary angles.
2. Complete each statement:
- Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°.
- Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°.
3. The complement of a 30° angle has a measure of:
- To find the complement of a 30° angle, we subtract the angle from 90° (since complementary angles sum to 90°).
- The complement of a 30° angle is [tex]\(90° - 30°\)[/tex].
- So, the complement of a 30° angle is 60°.
4. The supplement of a 65° angle has a measure of:
- To find the supplement of a 65° angle, we subtract the angle from 180° (since supplementary angles sum to 180°).
- The supplement of a 65° angle is [tex]\(180° - 65°\)[/tex].
- So, the supplement of a 65° angle is 115°.
5. Opposite & Congruent:
- Vertical angles (created when two lines intersect) are opposite each other and are always congruent (they have the same measure).
So, in summary:
1. Sum to 90°:
- Two angles are complementary if the sum of their measures is 90°.
2. Sum to 180°:
- Two angles are supplementary if the sum of their measures is 180°.
3. The complement of a 30° angle has a measure of:
- 60°.
4. The supplement of a 65° angle has a measure of:
- 115°.
5. Opposite & Congruent:
- Vertical angles are opposite each other and are congruent.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.