Is right triangle

One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle.

Correct answer:

a =  54 °
b =  90 °

Step-by-step explanation:


a+b=180-36
5a=3b

a+b=180-36
5·a=3·b

a+b = 144
5a-3b = 0

Pivot: Row 1 ↔ Row 2
5a-3b = 0
a+b = 144

Row 2 - 1/5 · Row 1 → Row 2
5a-3b = 0
1.6b = 144


b = 144/1.6 = 90
a = 0+3b/5 = 0+3 · 90/5 = 54

a = 54
b = 90

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