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Remember--Complementary, Supplementary, and Vertical !
1. Complete each statement.
1
2
Sum to 90°
Sum to 180°
Two angles are complementary if the sum of their measures is
Two angles are supplementary if the sum of their measures is
(3) The complement of a 30° angle has a measure of
4
The supplement of a 65° angle has a measure of
Opposite & Congruent

Sagot :

GinnyAnswer
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.
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