Question

Find x, y and z.

The 2y angle and the 56 degree angle are alternate interior angles. Use that fact to set up an equation and solve for y. The x degree angle and the 2y degree angle are also alternate interior angles. Use that to solve for x. Finally, you can use your answers for x and y to find z

Answer 1

The values for x = 56, for y = 28 and z = 64

Explanation:

1. Let's review the information given for answering the question correctly:

∠2y° and ∠56°are alternate interior angles

∠x °and ∠2y° are alternate interior angles

2. . Let's find the values of x, y and z.

2y = 56

y = 28

Therefore,

∠x ° = ∠2y°

∠x ° = ∠56°

x = 56

Let's recall that all the interior angles of a triangle will always add up to 180°, thus:

∠z° = 180 - 60 - 56

∠z° = 180 - 116

∠z° = 64°

z = 64