Question

Find the magnitude of xº and yº in the following figures, if I || m​

Answer 1

Answer:

x = y = 64°

Step-by-step explanation:

Firstly, we can find y.

y + 116° = 180° (Supplementary angles)

y = 180° - 116°

y = 64°

Now, x = 64° because they are vertically opposite angles and these angles are equal.

Hope it helps you!

Answer 2

Answer:

64°

Step-by-step explanation:

Let the

angle 116= angle 1

and

angle y = angle 2

and

angle x = angle 3

So the solution is,

angle 1 + angle 2 =180° (Linear Pair of angles)

116° + y° = 180°

y = 180° - 116°

y = 64°

now,

angle 2 = angle 3 (Corresponding angles)

y = x = 64°