Question

Please help me with my math

Answer 1

Answer: x = 115, z = 27

Step-by-Step Solution:

We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.

So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)

First solve Equation 1 :-

x + 65 = 180
x = 180 - 65
=> x = 115

Therefore, x = 115.

Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.

Substitute value of ‘x’ in Equation 2 :-

3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27

Therefore, z = 27.

Now we have the required answers.
Hence, x = 115 and z = 27.

Answer 2

x = 115

z = 27

Explanation:

x + 65 = 180 (same side interior angles)

x = 115

x = 3z +34 (alternate interior angles)

115 = 3z + 34

3z = 81

z = 27