# Geometry Problems

Please correct and explain.

1. Are the angles of a triangle considered to be supplementary? _Yes

Explain your answer. Any two angles that add up to 180 degrees are known as supplementary angles. Three angles inside any triangle always add up to 180 degrees.

Classify the following as true or false. If false, tell why.

2. Two distinct lines that do not intersect are parallel.

True- Two distinct lines that do not intersect are parallel.

3. No square is a rectangle.

False- all squares are rectangles with all sides equal.

4. If a plane contains one point of a line, then it must contain the entire line.

False- If a plane contains one point of a line, then it must contain the entire line.

5. A ray contains no endpoints.

False- a ray is a subset of a line that contains the endpoint and all points on the line on one side of the point. In short a ray has one endpoint.

6. If the measure of an angle is 2317'18", what is the measure of its supplement? ___140_____

7. If 9xand (5x + 62)are the measures of complementary angles, what is the measure of each angle?

One angle = 9x = 18°

Another angle = (5x + 62)° = (10+ 62)° = 72°

8. Is a rhombus a regular polygon? Explain your answer.

Determine the measure of the interior angles for each of the regular polygons:

9. Triangle -

10. Square-

Interior angle =

11. Pentagon-

Interior angle =

12. Hexagon-

Interior angle =

13. Heptagon

Interior angle =

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Detailed explanations are given.