Question

3. angle LMO = (9x + 18)° and angle PZJ = (2x + 19)°

Answer 1

x = 13°

Explanation:

What can be seen is the line RO and QP parallel to one another.

∠LMO and ∠OMZ are supplementary angles.

These two angles add up to a total of 180°.

∠OMZ = ∠PZJ

*They are corresponding angles*

This would also mean that

∠LMO + ∠PZJ = 180°

By looking at the respective values of both angles we can compute:

`9x+18^o+2x+19^o=180^o` ---> combine like terms.

`11x=143^o` ---> divide both sides by 11.

`x=13^o` ---> final result

Thank you,

Eddie E.