Answer:
x = 11, y = 3
Step-by-step explanation:
9x + 25 and 13x - 19 are corresponding angles and congruent, thus
13x - 19 = 9x + 25 ( subtract 9x from both sides )
4x - 19 = 25 ( add 19 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
Thus
13x - 19 = (13 × 11) - 19 = 143 - 19 = 124°
13x- 19 and 17y + 5 form a straight angle and are supplementary, thus
13x - 19 + 17y + 5 = 180, that is
124 + 17y + 5 = 180
129 + 17y = 180 ( subtract 129 from both sides )
17y = 51 ( divide both sides by 17 )
y = 3
