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a.) Lines AD and BE intersect at point C, as shown. Create an expression that represents the
measure of angle DCE in terms of X.
b.) Using your expression, solve for the missing value of X if DCE was 120 degrees.
Please show how you got it qwq
30 Points!

a Lines AD and BE intersect at point C as shown Create an expression that represents the measure of angle DCE in terms of X b Using your expression solve for th class=

Respuesta :

hunterpratt13
X=60

A flat line equals 180 degrees, so 180-120=60 your answer
adioabiola

Here, we are required to create an expression that represents the measure of angle DCE in terms of x and consequently solve for the missing value of x.

  • (a) The expression that represents the measure of the angle DCE in terms of X is; angle DCE = 180° - x°

  • (b) The missing value of x if DCE was 120° is;. x = 60°

According to the question, the angle x° and angle DCE are on the line BCE.

By the straight line theorem, which states that;

  • the sum of angles on a straight line is equal to 180°.

(a) Since, the sum of angles on the line BCE is 180° and only angles DCE and x° are on the line.

Therefore, the expression that represents the measure of angle DCE in terms of X is;

angle DCE + x° = 180°

angle DCE = 180° - x°

(b) To find the value of x° if angle DCE was 120°, we have to substitute 120° for the value of angle DCE in the expression gotten in part a above;

Therefore,

120° = 180° - x°

x° = 180° - 120°

x = 60°.

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