Question

Detammine the value z​

Answer 1

Answer: 121°

The first to solving this problem is to first find the missing angle in the triangle.

Three angles in a triangle have to add up to 180°

We are given the angles 87° and 34°, so now let's add the two given angles

87° + 34° = 121°

Now let's take 180° and subtract it from 121° to get the missing angle in the triangle

180°-121°=59°

Now we know the missing angle is 59°, we can notice that the angle 59° is also on a straight line and two angles on a straight line must add up to 180°

So let's now subtract 180° from 59°

180°-59°=121°

Answer 2

A) 121°

Explanation:

Angle z is an exterior angle of the triangle. Relative to that exterior angle, the two marked angles are referred to as "remote interior angles." The relation between them is ...

an exterior angle is equal to the sum of the remote interior angles.

In this case, that means ...

z° = 34° +87° = 121°