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Omni-MATH / Let ABCD be a trapezoid such that AB∥CD,∠BAC=25^(∘),∠ABC=125^(∘), and AB+AD=CD. Compute ∠ADC.

Problem

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problem

Let ABCDABCD be a trapezoid such that AB∥CD,∠BAC=25∘,∠ABC=125∘AB \parallel CD, \angle BAC=25^{\circ}, \angle ABC=125^{\circ}, and AB+AD=CDAB+AD=CD. Compute ∠ADC\angle ADC.
Plain-text mathematical notation (without MathML)
Let ABCD be a trapezoid such that AB∥CD,∠BAC=25^(∘),∠ABC=125^(∘), and AB+AD=CD. Compute ∠ADC.
Original LaTeX notation
Let \(ABCD\) be a trapezoid such that \(AB \parallel CD, \angle BAC=25^{\circ}, \angle ABC=125^{\circ}\), and \(AB+AD=CD\). Compute \(\angle ADC\).

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