Mathematics

Mathematics

Problem

Lines pp and qq are parallel and are cut by a transversal tt. The angle formed on line pp to the right of the transversal and above the line measures (4x+20)∘(4x + 20)^{\circ}. The corresponding angle on line qq in the same relative position measures (7x−55)∘(7x - 55)^{\circ}. a. (i) Find the value of xx. b. (ii) Determine the measure of each of the two corresponding angles. c. (iii) State whether each of these angles is acute, right, or obtuse.

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