Question

find the value of X and Y with explanation​

Answer 1

Answer:

x=70°

y=50°

Step-by-step explanation:

y+130°=180°(since linear pair)

y=180°-130°

y=50°

sum of all angles of a triangle =180°

60°+y+x=180°

60°+50°+x=180°

110°+x=180°

x=180°-110°

x=70°

Answer 2

Answer:

angle BAC = x°

angle ACB = y°

angle ABC = 60°

angle ACD = 130°

angle ACB + angle ACD = 180°.......................[ Linear pairs of equation ]

y° + 130 = 180

y=50°

angle ABC + angle BAC = angle ACD...........................[ Exterior angle Theorem ]

60 + x° = 130

x = 70°