Calculate 30281

One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles.

Correct answer:

A =  105
B =  75
C =  105
D =  75

Step-by-step explanation:


A=30+B
A+B =180
C=A
D=B

A-B = 30
A+B = 180
A-C = 0
B-D = 0

Row 2 - Row 1 → Row 2
A-B = 30
2B = 150
A-C = 0
B-D = 0

Row 3 - Row 1 → Row 3
A-B = 30
2B = 150
B-C = -30
B-D = 0

Row 3 - 1/2 · Row 2 → Row 3
A-B = 30
2B = 150
-C = -105
B-D = 0

Row 4 - 1/2 · Row 2 → Row 4
A-B = 30
2B = 150
-C = -105
-D = -75


D = -75/-1 = 75
C = -105/-1 = 105
B = 150/2 = 75
A = 30+B = 30+75 = 105

A = 105
B = 75
C = 105
D = 75

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