Mathegoras

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Angle in two isosceles triangles

Middle school · ●●○○○ 20 pts

Triangles ABCABC and ADCADC are isosceles with AB=BCAB=BC and AD=DCAD=DC. Point DD is inside △ABC\triangle ABC, ∠ABC=40∘\angle ABC = 40^\circ, and ∠ADC=140∘\angle ADC = 140^\circ. Find the measure of ∠BAD\angle BAD in degrees.

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isosceles trianglestriangle angle sum