Answer:
x =42
q = 135°
p + q + r = 225°
Step-by-step explanation:
a)
Since, AB and BC are perpendicular lines.
[tex] m\angle ABC = 90\degree \\
\therefore 24\degree + x\degree + 24\degree = 90\degree \\
\therefore x\degree + 48\degree = 90\degree \\
\therefore x\degree = 90\degree - 48\degree \\
\huge \red {\boxed {\therefore x = 42}} \\[/tex]
b) (i)
Since, CD and EF are parallel lines and AB is a straight line.
[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\
p + 135\degree = 180°..(straight\: line \: \angle' s) \\
p = 180\degree - 135\degree \\
\huge \purple {\boxed {p = 45\degree}} \\
\because r = p ... (vertical \: \angle 's) \\
\huge \purple {\boxed {r = 45\degree}} \\
p + q + r = 45\degree + 135\degree + 45\degree \\
\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]
