Answer:
x = 35 , y = 20
Explanation:
3x and 105° are alternate angles and are congruent ( equal) , so
3x = 105 ( divide both sides by 3 )
x = 35
the vertex angle of the triangle on the right = 105 ( alternate angles )
the sum of the 3 angles in a triangle = 180°
sum the 3 angles, equate to 180 and solve for y
x + 2y + 105 = 180
35 + 2y + 105 = 180
2y + 140 = 180 ( subtract 140 from both sides )
2y = 40 ( divide both sides by 2 )
y = 20