Question

exterior angle equals Z+45one remote interior angle is Z-9 and the other remote interior angle is Zwhat those Z equal

Answer 1

The brain behind the Exterior Angle Theorem is that:

the sum of two interior angles is equal to the one exterior angle.

In this question, we have that : ( Z - 9 ) + Z = Z + 45

Z - 9 + Z = Z + 45

2 Z - 9 = Z + 45

collecting like terms, we have:

2 Z - Z = 45 + 9

Z = 54 degrees

CONCLUSION: The value of Z = 54 degrees