Question

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

10
20
50

Answer 1

@tomhue

Answer 2

3x = 2x+20+30
solve for x

Answer 3

i bet it's 50

Answer 4

does it have to be 180?

Answer 5

The sum of angle measures of a triangle (A+B+C=180) suggests that the measure of an exterior angle, in this case <1, is equal to the sum of the two nonadjacent (not touching the exterior angle) interior angles, in this case <3 and <5. You may or may not have learned this in class, but it doesn't matter because you know it now.

But yeah, you just plug those all in. m<1=m<3+m<5