Question

the adjacent angle of a parallelogram are (2x-4) degree and (3x-1) degree .find the mesure
of all angles of the parallelogram.​

Answer 1

Answer:

70°, 110°, 70°, 110°

,Step-by-step explanation:

Let (2x - 4)° = m

and (3x - 1)° = n  

According to problem:

m + n = 180°  (Consecutive - Interior Angles are Supplementary)

⇒ (2x - 4) + (3x - 1) = 180

⇒ 5x - 5 = 180

⇒ 5(x - 1) = 5 * 36

⇒ x - 1 = 36

⇒ x = 37

∴∠1 = 2x -4 = 2(37) -4 = 74 - 4 = 70°

∠2 = 3x - 1 = 3(37) - 1 = 111- 1 = 110°

∠3 = ∠1 (opposite angles of a parallelogram are equal) = 70°

∠4 = ∠2 (opposite angles of a parallelogram are equal) = 110°