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3 years ago

ASE

Mathematics

2 answers:

bulgar [2K]3 years ago

7 0

so we will get a lot of teiangles here.

90°+x+CED=180°

also CED+DEF=180°(half circle, 360/2)

CED+103°=180°

CED=180-103=77°

77°+90°+X/2=180°

x/2=180-167=13°

eimsori [14]3 years ago

3 0

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

m<CBE + m<C + m<D + m<DEB = 360

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

m<CBE + m<C + m<D + m<DEB = 360

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

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