let the unknown angle be a
so a+90 + 20= 180
If we take 70°,then area (A)=
![(1)/(2) sin70xy](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7vlnc0nuqfq2o89vrfzojx2pne634ryehu.png)
If we take 90° then area(A)=
[tex] \frac{1}{2} sin90x \times 10 = \frn
therefore y=10.64 cm
By using pythagoras theorem
y^2=x^2+10^2
or, x^2=y^2-100
or, x^2=10.64^2-100
or,x^2=13.2096
or, x= 3.63 cm