Question

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

Answer 1

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°

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°

Answer 2

Explanation:

y=18°

x=64°

x+y+z=180

64+18+z=180

82+z=180

z=180-82=98°