Write a valid conclusion using the Law of Syllogism. If lines are parallel, they have the same slope. If two lines have the same slope, they have no points in common.
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- The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. Statement A: All right angles are congruent. Statement b: Congruent angles have equal measurement. Conclusion: ___________________ Law used: _____________________Use your knowledge of parallel lines and a transversal to find the measures of all the following angles. (HINT: Do not try to go in numeric order. Start with one value and find the vertical angles, supplementary angles, corresponding angles, alternate interior angles, and alternate exterior angles.But, please enter your answer in numeric order.)
- Write a definition of congruent angles as a biconditional.Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. Statement A: Right triangles have two acute angles. Statement B: ∆BOY have two acute angles. Conclusion: ___________________ Law used: _____________________A triangle MNP is formed by arranging three squares. Which statement must be true for triangle MNP to be a right triangle? A The sum of the areas of squares A and B is equal to the area of square C. B The sum of the perimeters of squares A and B is equal to the perimeter of square C. C The sum of the perimeters of squares A and B is equal to twice the perimeter of square C. D The sum of the areas of squares A and B is equal to twice the area of square C.
- Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. Statement A: If the measurement of an angle is less than 90°, then it is acute. Statement B: ∠BOY measures less than 90°. Conclusion: ___________________ Law used: _____________________Is the statement "If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same side of the transversal are supplementary" true or false? Justify your answerAndrea said that if M ankle two equals 40° then M angle three must also be equal to 40° which justifies Andrea statement