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Triangles: Isosceles

In the figure below, what is the value of $$x$$? ![](data:image/svg+xml;base64,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)
Correct. [[snippet]] Angle $$BAD$$ and the 145° angle are supplementary angles, so >$$\angle BAD = 180^\circ - 145^\circ = 35^\circ$$. Since $$AD = DB$$, >$$\angle BAD = \angle ABD = 35^\circ$$ Given that the sum of all angles in a triangle is 180°, >$$35^\circ + 35^\circ + \angle ADB = 180^\circ$$ >$$\angle ADB = 180^\circ - (35^\circ + 35^\circ) = 110^\circ$$. Therefore, the value of $$x$$ is >$$x = 180^\circ - 110^\circ = 70^\circ$$.
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
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