Question

Find the value of each variable for y and z

Answer 1

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°