Find the value of x, y, and z in the image below.

Step-by-step explanation:

y=18°

x=64°

x+y+z=180

64+18+z=180

82+z=180

z=180-82=98°

x = 64°

y = 18°

z = 98°

Notes:

- If 2 angles are directly across from each other, they have the same value, or same degree.

- A straight line equals 180°

Step-by-step explanation:

Since x is directly across from 64°, x is also 64°

Since y is directly across from 18°, y is also 18°

Now, angles x, y, and z make a straight line. To find z, we have to add angles x and y, and then subtract from 180.

64 + 18 + z =  180

82 + z = 180

z = 98°

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: