Answer:
See Explanation
Step-by-step explanation:
[tex]m\angle 1 = m\angle 4\\...(corresponding \: \angle 's) \\
\because m\angle 4 = 45\degree \\
\huge \red {\therefore m\angle 1 = 45\degree} \\\\
\because m\angle 1 + m\angle 2 = 90\degree \\
\therefore 45\degree+m\angle 2 = 90\degree \\
\therefore m\angle 2 = 90\degree-45\degree\\
\huge \purple {\therefore m\angle 2 = 45\degree} \\\\
m\angle 3 = 35\degree... (given) \\\\
\because m\angle 3 + m\angle 5 = 90\degree \\
\therefore 35\degree + m\angle 5 = 90\degree \\
m\angle 5 = 90\degree-35\degree \\
\huge \orange {m\angle 5 = 55\degree} \\\\
\because m\angle 4 =m\angle 5...(vertical \: \angle 's) \\
\huge \pink{\therefore m\angle 4 = 55\degree} \\ \\
\because m\angle 6 =m\angle 5...(alternate \: \angle 's) \\
\huge \blue{\therefore m\angle 6 = 55\degree} \\
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