Segments AB, DC, and EC intersect at point C. Angle DCE measures 148. Find the value

x = 16°

Step-by-step explanation:

We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°

∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)

∠ACD = x, ∠DCE = 148,  ∠ECD = x

substituting the respected values for the angles gives:

x + 148 + x = 180

2x + 148 = 180

subtracting 148 from both sides:

2x + 148 - 148 = 180 - 148

2x = 32

Dividing both sides by 2, to get x:

2x/2 = 32/2

x = 16°

(2,9)

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step-by-step explanation: