1 Answer

Jeff Poulton · Answer 1 · 2023-04-23T12:35:54+0000

Solution:

Given a right triangle;

To find the value of z, we apply the theorem that the sum of angles in a triangle is 180°,

Shown below to evaluate z, since it is a right angle, one of the angles is 90°

$52\degree+z\degree+90\degree=180\degree$

Collect like terms and solve for z

$\begin{gathered} z\degree+142\degree=180\degree \\ z\degree=180\degree-142\degree \\ z\degree=38\degree \end{gathered}$

Hence, the value of z is 38°

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