Question

Help i need to understand

Answer 1

Using thereoms/postulates, we know that the 60° angle and the (5z - 85)° angle are congruent

so to first find z..
$60 = 5z - 85$
$145 = 5z$
$29 = z$

now that we know z, we can find x
simply replace the z in (5z - 85) with 29
and add the entire angle to x to equal 180
(supplementary angles)
$(5(29) - 85) + x = 180$
$(145 - 85) + x = 185$
$60 + x = 185$
$x = 125$


$x = 125 \\ z = 29$