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Can anyone help me on this ???

Apparently the answer is 60 but I just can't understand how

Can anyone help me on this ??? Apparently the answer is 60 but I just can't understand-example-1
User Aba Dov
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2 Answers

7 votes
The two acutes angles each equal 60 + x
The two obtuse angles each equal x + 120

If you set up an equation to solve, it'd be:
2(60 + x) + 2(x + 120) = 360 (since 360 is the total degrees in a quadrilateral)
120 + 2x + 2x + 240 = 360
4x = 0
x = 0

Since x equals zero, just plug that back into the equation for the measure of angle m.

Measure of angle m = 60 + x
m = 60 + 0 = 60 degrees
User Peter Tseng
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8.3k points
0 votes
∠K and ∠J are supplementary angles. The sum of supplementary angles is 180°

Find x with the property of supplementary angles.
∠K + ∠J = 180°
60 + x + 120 + x = 180°
180° + 2x = 180°
2x = 0
x = 0

We know x = 0, we find ∠J and ∠K
∠J = x + 120° = 120°
∠K = x + 60° = 60°
User GolfARama
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8.4k points

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