This is geometry please help

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Answer:

x = 31°

Step-by-step explanation:

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

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