Question

This is geometry please help

Answer 1

x = 31°

Explanation:

`\triangle ABC \cong \triangle DCE... (given) \\\\</p><p>\therefore m\angle B = m\angle E..(cact)\\\\</p><p>\because m\angle B = 61\degree \\\\</p><p>\therefore m\angle E = 61\degree \\\\</p><p>In \: \triangle DCE\\\\</p><p>m\angle D+ m\angle C + m\angle E = 180\degree \\</p><p>(by \: interior \: angle \: sum \: property \: of \: a triangle) \\\\</p><p>2x\degree + 57\degree + 61\degree= 180\degree \\\\</p><p>2x\degree + 118\degree = 180\degree \\\\</p><p>2x\degree = 180\degree - 118\degree \\\\</p><p>2x\degree = 62\degree \\\\</p><p>x = (62\degree)/(2) \\\\</p><p>x = 31\degree </p><p>`