Triangle 42

Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=?

Correct answer:

C =  26.8571 °

Step-by-step explanation:


A = 119
B= 3y+14
C = 4y
A+B+C=180

A = 119
B= 3·y+14
C = 4·y
A+B+C=180

A = 119
B-3y = 14
C-4y = 0
A+B+C = 180

Row 4 - Row 1 → Row 4
A = 119
B-3y = 14
C-4y = 0
B+C = 61

Row 4 - Row 2 → Row 4
A = 119
B-3y = 14
C-4y = 0
C+3y = 47

Row 4 - Row 3 → Row 4
A = 119
B-3y = 14
C-4y = 0
7y = 47


y = 47/7 = 6.71428571
C = 0+4y = 0+4 · 6.71428571 = 26.85714286
B = 14+3y = 14+3 · 6.71428571 = 34.14285714
A = 119/1 = 119

A = 119
B = 239/7 ≈ 34.142857
C = 188/7 ≈ 26.857143
y = 47/7 ≈ 6.714286

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