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Learning Task 2. (10 POINTS) Directions: Use the diagram at the right to answer the questions 1) How many pairs of vertical angles are there? 2) How many linear pairs are there? 3) Which angle is congruent to 25? 4) How is 21 related to 27? 5) Which angle is corresponding to 26? 2 6) Which angle is an interior on the same side as 23? 7) Suppose lines r and s are parallel, which angle is congruent to 28? 8) Suppose lines r and s are parallel, which angle is supplementary to 27? 9) Suppose lines r and s are parallel, and m_2 = 38°, find the measure of 26. 0) Suppose lines r and s are parallel, and m26 = 45°, find the measure of 25.
1. There are six pairs namely 1&2, 3&4, 6&7, 5&8, 11&12, 9&10
2.4 21 and 28
3. 25, if the angles are congruent it means that the measurement of their angles are just the same
4. Since, the factors of 21 are 1, 3, 7, 21 and the factors of 18 are 1, 2, 3, 6, 9, 18. Hence, [1, 3] are the common factors of 21 and 18.
The common factors for 27 are 3 and 9. Therefore the total number of factors that 27 has is 4 and they are 1, 3, 9, and 27
5.
6. 23, 24, 25, and 26
7. angle 4 and angle 6 alternative angle. 142 degree
8.24 & 25
9. 180° - 142° = 38°
10. 180° - 39° = 141°
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