Question

4. Two parallel lines, a and b, are cut by transversal c. The measures of two angles formed are given in the diagram What is the measurement of the angle labeled (15x)? A. 7° B. 15° C. 75° D.105°​

Answer 1

alternate exterior angles, when parallel lines are cut by a transversal, are congruent. Therefore, the angles are equal...so set them equal.6x + 5 = 7x - 4...now we solve for x6x - 7x = -4 - 5-x = -9x = 9one angle (6x + 5) = 6(9) + 5 = 54 + 5 = 59 degreesother angle (7x - 4) = 7(9) - 4 = 63 - 4 = 59 degreesas u can see, they are both congruent and they each measure 59 degrees

Explanation: