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If x = 59 degrees, find the measures of angles 1, 2, and 3.

If x = 59 degrees, find the measures of angles 1, 2, and 3.

Angles 1, 2, and 3 measure 56°, 90°, and 56°, in that order.In the given scenario, you have an angle x equal to 34°.To determine the measures of adjacent angles, you use the information that adjacent angles share a common vertex and a common side but do not overlap.Let ∠1 be an angle adjacent to x.According to the figure, the sum of angles in a straight line is 180°. So, you have:90°+34°+∠1=180°90°+34°+∠1=180°Solving for ∠1:124°+∠1=180°124°+∠1=180°∠1=180°−124°∠1=180°−124°∠1=56°∠1=56°Since ∠1 is adjacent to x, ∠1 is also equal to ∠3 due to vertically opposite angles. Additionally, ∠2 is a right angle, given as 90°.Therefore, the measures of angles 1, 2, and 3 are 56°, 90°, and 56°, respectively.This result aligns with the properties of adjacent angles and the angles formed in a straight line, providing a clear understanding of the relationships between these angles in the given geometric configuration.QuestionIf x=34° find the measures of angles 1,2,3  ....

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