# Internal angles IST

Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if:

alpha:gamma = 1:3

Correct result:

α =  45 °
β =  45 °
γ =  135 °
δ =  135 °

#### Solution:

a=b
c=d
3a = 1c
a+b+c+d=360

a=b
c=d
3•a = 1•c
a+b+c+d=360

a-b = 0
c-d = 0
3a-c = 0
a+b+c+d = 360

a = 45
b = 45
c = 135
d = 135

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