Question

Find the values of the unknowns x and y in the following diagrams:

Answer 1

Answer:

Y=80. X=50

Step-by-step explanation:

Y=80. (vertically opposite angels)

50+y+x=180. (angle sum property)

50+80+x=180

X=180-130

X=50

Answer 2

Step-by-step explanation:

In first diagram:-

120 + y = 180° ( Linear Pair )

y = 180°-120°

y = 60°

Angle sum property of a triangle:-

x + y + 50° = 180°

x + 60° + 50° = 180°

x + 110° = 180°

x = 70°

In second diagram:-

y = 80° ( Vertically opposite angled are equal )

Angle sum property of triangle:-

x + y + 50° = 180°

x + 80° + 50° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

Hope it helps you!