Karen Morrison and Nick Hamshaw Solutions for Exercise 11: Examination practice

Explain why $x=y$ in the following figure:

Measure the line and construct $AB$ the same length in your book using a ruler and compass

On the line $AB$, at point $A$, measure and draw angle $BAC,$ a $75°$ angle.

Measure the line and construct $AB$ the same length in your book using a ruler and compass.

At point $B$, measure and draw angle $ABD,$ an angle of $125°$

Construct triangle $PQR$ with sides $PQ=4.5 \mathrm{cm}, \mathrm{QR}=5 \mathrm{cm}$ and $PR=7 \mathrm{cm}$

A regular polygon has an interior angle of $172°$.

Find the number of sides of this polygon.

Find the value of $x$(in degrees)

Find the value of $y$(in degrees)