Question

Given AGHJ - AXYZ, find each missing measure.H18 ftzXa) GJ =d) mZH =27 fte) m =38b) XY=c) ZY =f) mZJE

Answer 1

`\begin{gathered} (a)\text{ GJ=ZX=}1\text{8 ft} \\ (b)\text{ }XY=HG=HJ=\text{27 ft} \\ (c)\text{ }ZY=XY=\text{27 ft} \\ (d)\text{ }\angle H=\angle y=18^(\circ) \\ (e)HJ^2=HG^2+GJ^2-2* HG* GJ*\cos \theta \\ \Rightarrow27^2=27^2+18^2-2*27*18*\cos \theta \\ \Rightarrow18^2=2*27*18*\cos \theta \\ \Rightarrow\theta=\text{70}.53^(\circ)=\angle G=\angle Z \\ (f)\angle J=\angle X=\text{70.}53^(\circ) \end{gathered}`