Karen Morrison and Nick Hamshaw Solutions for Exercise 10: Exercise 15.10

Find the length of the side marked $x$ in the given triangle.

Find the length of the side marked $x$ in the given triangle.

Find the size of the angles marked $\theta$ in the given triangle. Write answer correct to $1$ decimal place.

Find the size of the angles marked $\theta$ in the given triangle. Write answer correct to $1$ decimal place.

Find the size of the angles marked $\theta$ in the given triangle. Write answer correct to $1$ decimal place.

In triangle $ABC, A=72°, B=45°$ and side $AB=20 cm$. Calculate the size of $C$ and lengths of the sides $AC$ and $BC.$

In triangle $XYZ, X=40°,$ side $XZ=12 cm$ and side $YZ=15 cm$. Explain why $Y$ must be less than $40°$

$ABCD$ is a parallelogram with $AB=32 mm$ and $AD=40 mm$ and $BAC=77°$. Find the size of an angle $BCA$ and angle $ABC$ (to the nearest degree).