Will give a brainliest a 5 star rating and 13 points

<y and 113 degrees must add up to 180 degrees.  Thus,

<y = 180 degrees - 113 degrees = 67 degrees.

Next, consider that 74 degrees plus angle y plus angle z must add up to 180 degrees.  Thus, angle z = 180 degrees - (74 degrees + 67 degrees), or 180 - 141 degrees.  That works out to 39 degrees.

<z = 39 degrees.

Remark

Don't be fooled into believing that the only way you can do this is to solve for y and x first. You don't need to go to all that trouble.

Solution

z is the supplement of 141 degrees

z + 141 = 180                     Subtract 141 from both sides.

z + 141 - 141 = 180 - 141    Combine

z = 39 degrees. <<<< Answer

The answer box only requires 39. The degree symbol is already there.

answer: 7270

step-by-step explanation: