Math, asked by Neevbhavsar, 1 month ago

Two adjacent angles of a parallelogram are (3x - 4 ) and (3x + 10) Find the angles of the parallelogram​

Answers

Answered by MissCornetto
11

Answer:

we know that sum of adjacent angle in a parallelogram is 180.

3x-4+3x+10=180

6x+6=180

6x=180-6

x=174/6

x=29

therefor 1st angle=3*29-4=83

2nd angle=3*29+10=97

Answered by Eutuxia
5

Answer :

  • The angles are 83° and 97°.

Given :

  • Two adjacent angles of a parallelogram = (3x - 4 ) and (3x + 10)

To find :

  • the angles of the parallelogram​

Solution :

⇒ Let's solve!!

  • Sum of two adjecent angles = 180°

→ (3x - 4) and (3x + 10) = 180°

→ (3x + 3x) + (-4 + 10) = 180°

→ (6x) + (6) = 180°

→ 6x + 6 = 180°

→ 6x = 180° - 6

→ 6x = 174

→ x = 174/6

→ x = 29

∴ x = 29

⇒ Now let's find the angles.

= 3x - 4

= 3 × 29 - 4

= 87 - 4

= 83°

= 3x + 10

= 3 × 29 + 10

= 87 + 10

= 97°

  • Therefore, the angles are 83° and 97°.
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