Angle

Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.

Correct answer:

a =  30 °

Step-by-step explanation:


a+b+c=180
c = 90
b-a = c-b

a+b+c = 180
c = 90
a-2b+c = 0

Row 3 - Row 1 → Row 3
a+b+c = 180
c = 90
-3b = -180

Pivot: Row 2 ↔ Row 3
a+b+c = 180
-3b = -180
c = 90


c = 90/1 = 90
b = -180/-3 = 60
a = 180-b-c = 180-60-90 = 30

a = 30
b = 60
c = 90

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