Given :-

• Two adjacent angles of a parallelogram are 2x and 3x.

To Find :-

• Measure of these angles.  

Solution :-

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❍ To calculate the measure of those angles we must know that ::  

• Adjacent angles of a parallelogram are supplementary.  

• Sum of supplementary angles is 180°.

Finding the value of x :-

• As the adjacent angles of parallelogram are supplementary we can form an equation :

⇝ 3x + 2x = 180°

⇝ 5x = 180°

⇝ x = 180°/5

⇝ x = 36°

Finding the angles :-

⇝  2x = 2 × 36° = 72°

⇝ 3x = 3 × 36°  = 108°

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• Henceforth, measures of the angles are 72° and 108°.