Question

In the adjoining figure, XY || BC . FIND the value of x,y,z

Answer 1

Answer:

plz attach the pic of FIGURE

Answer 2

Answer:

x = 30, y = 110, z = 110

Step-by-step explanation

In triangle ABC, A + B + C = 180 (angle sum proper

40 + 30 + z = 180

70 + z = 18

z = 180 - 70 = 110

Given that XY II BC, Z + XYC = 180 (co-interior angles)

110 + XYC = 180

XYC = 180 - 110 = 70

XYC + XYA = 180 (straight angle property)

70 + y = 180

y = 180 - 70 = 110

In triangle AXY, A + X + Y = 180 (angle sum property)

40 + x + 110 = 180

x + 150 = 180

x = 180 - 150 = 30