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Lines & Angles: Perpendicular

In right triangle $$ABC$$ shown below, what is the value of $$x$$? ![](data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
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)
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Correct. [[snippet]] Since the sum of all angles in a triangle is 180°, >$$\angle DAC = 180^\circ - 70^\circ - 50^\circ = 60^\circ$$. You can find $$\angle CAB$$ by subtracting this from 90º: >$$\angle CAB = 90^\circ - 60^\circ = 30^\circ$$. Now calculate the value of $$x$$: >$$x = 180^\circ - 90^\circ - 30^\circ = 60^\circ$$.
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