When two adjacent angles form a straight line, they are supplementary.
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In a right trapezoid (also called right-angled trapezoid), two adjacent angles are right angles.
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The "watari-yagura-mon" was constructed at adjacent angles to each side within the gate.
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The proposition showed that since both of a pair of vertical angles is supplementary to both of the adjacent angles, the vertical angles are equal in measure.
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More precisely, if a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.
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