Figure 2. Sum of two angles65T68-4310A. Use the figure below. Answer each number using a separate sheet of paper.1. What is the sum of the measure of 25 and 4 1?2. Angle 4 is the interior angle adjacent to what exterior angle?3. What is the relationship of 1 and 26, 27 and 25, are they supplementary? Or why not?4. Which interior angle is adjacent to 45?5. Why is the measure of 29 and 22 is 180°?B. Write "TRUE" if the statement is correct, if false, correct the underlined word/s to make it true.1. The sum of the measure of an exterior angle and its adjacent interior angle is always 180°.2. The measure of an exterior angle and its adjacent interior angle is always equal.3. The exterior angle and its adjacent interior angle form a linear pair.4 Linear pairs are always complementary.
Answer (1)
Step-by-step explanation:To proceed with your questions, I'll interpret the content related to angles based on the assumed geometric principles. Here are the answers to each problem:### A. Using the provided figure1. **What is the sum of the measure of angle 25 and angle 41?** - Without the specific measures being provided, generally the sum of angles can be calculated if they are known. If not, please provide their measures.2. **Angle 4 is the interior angle adjacent to what exterior angle?** - Angle 4 is adjacent to the exterior angle that forms a linear pair with it. Typically, this would be the angle that complements angle 4 to 180°.3. **What is the relationship of angles 1 and 26, and angles 27 and 25; are they supplementary? Or why not?** - Angles are supplementary if the sum of their measures equals 180°. If angles 1 and 26 add up to 180° and angles 27 and 25 also add up to 180°, then they are supplementary. Otherwise, they are not.4. **Which interior angle is adjacent to angle 45?** - This would depend on the arrangement of the angles in the figure. An adjacent angle shares a common side with angle 45.5. **Why is the measure of angles 29 and 22 equal to 180°?** - Angles 29 and 22 are likely supplementary angles, meaning they form a linear pair or are with respect to the same straight line, thus their measures sum up to 180°.### B. True or False Statements1. **TRUE:** The sum of the measure of an exterior angle and its adjacent interior angle is always 180°. 2. **FALSE:** The measure of an exterior angle and its adjacent interior angle is not always equal. (Correction: "always equal" should be replaced with "not equal").3. **TRUE:** The exterior angle and its adjacent interior angle form a linear pair.4. **FALSE:** Linear pairs are always supplementary. (Correction: "always complementary" should be replaced with "always supplementary").
