Question

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Answer 1

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Explanation:

`m\angle 1 = m\angle 4\\...(corresponding \: \angle 's) \\</p><p>\because m\angle 4 = 45\degree \\</p><p>\huge \red {\therefore m\angle 1 = 45\degree} \\\\</p><p>\because m\angle 1 + m\angle 2 = 90\degree \\</p><p>\therefore 45\degree+m\angle 2 = 90\degree \\</p><p>\therefore m\angle 2 = 90\degree-45\degree\\</p><p>\huge \purple {\therefore m\angle 2 = 45\degree} \\\\</p><p>m\angle 3 = 35\degree... (given) \\\\</p><p>\because m\angle 3 + m\angle 5 = 90\degree \\</p><p>\therefore 35\degree + m\angle 5 = 90\degree \\</p><p>m\angle 5 = 90\degree-35\degree \\</p><p>\huge \orange {m\angle 5 = 55\degree} \\\\</p><p>\because m\angle 4 =m\angle 5...(vertical \: \angle 's) \\</p><p>\huge \pink{\therefore m\angle 4 = 55\degree} \\ \\ </p><p>\because m\angle 6 =m\angle 5...(alternate \: \angle 's) \\</p><p>\huge \blue{\therefore m\angle 6 = 55\degree} \\</p><p></p><p>`