Question

Enter the answer in the space provided.

Consider the figure.
142
68
N
Enter the measure of anglez, in degrees, in the space provided.

Answer 1

Explanation:

as simple as it sounds, we need to do a few steps to actually get the result.

first the outer angle 142° and the corresponding inner angle in the triangle are a linear pair of angles, and together they have 180°.

so, the inner angle is 180 - 142 = 38°.

then, remember, the sum of all angles in a triangle is always 180°.

so, the third inner angle is 180 - 38 - 68 = 74°

now, this third inner angle is with z (the corresponding outer angle) again a linear pair (sum 180°).

so,

z = 180 - 74 = 106°