To find m∠DCE, use the properties of angles in a triangle and the given angles m∠DCF and m∠ECF. The equation is 14x + 25 + m∠DCE = 180°.
To find m∠DCE, we need to use the properties of angles in a triangle. In triangle DCF, the sum of the interior angles is 180°. So, m∠DCF + m∠ECF + m∠DCE = 180°. Substituting the given values, we have (8x + 30) + (6x - 5) + m∠DCE = 180°. Simplifying the equation, we get 14x + 25 + m∠DCE = 180°. Rearranging the terms, we find m∠DCE = 180° - 14x - 25.
Learn more about Angles in a triangle