4 years ago

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

1 answer:

iogann1982 [59]4 years ago

6 0

M∠2 = 180 - m∠1 = 180 - 3x [supplementary angles]

In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180 
180-3x + 2x+20 + 30 = 180
230 - x = 180
x = 230 - 180
x = 50

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