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