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Problem 361

AMC 12 late, AIME early

Geometry Difficulty 4.7 Find the answer

[ Measuring the lengths of segments and the measures of angles. Adjacent angles.]

One of two adjacent angles is $30^{\circ}$ greater than the other. Find these angles.

Your answer

Official solution

The doubled smaller angle is equal to $180^{\circ}-30^{\circ}=150^{\circ}$ . Therefore, the smaller angle is $75^{\circ}$ .

## Answer

$105^{\circ}, 75^{\circ}$ .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.