1.

Find the measure of each angle of a parallelogram if the larger angle of a parallelogram is 30° less than twice the smaller angle

Answer»

GIVEN :

  • the larger angle of a parallelogram is 30° less than twice the smaller angle

To Find :

  • MEASURE of each angle of the parallelogram.

Solution :

Sun of two adjacent angles of a parallelogram is equal to 180°

LET the smaller angle be x

Let the larger angle be 2x - 30°

According to the QUESTION :

⟶ x + 2x - 30° = 180°

⟶ 3X - 30 = 180°

⟶ 3x = 180° + 30°

⟶ 3x = 210

⟶ x = 210/3

⟶ x = 70

Therefore :

Smaller angle = x = 70°

Larger angle = 2x - 30° = 2(70) - 30 = 140 - 30 = 110°

So, all the angles of the parallelogram are 70° , 110° , 70° and 110°

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