The interior angles of a quadrilateral are (2x+15), (2x - 5),
(3x + 75) and (3x - 25)
the smallest interior angle of the quadrilateral.
Answers
Answered by
11
Answer:
55 degrees is the answer.
Step-by-step explanation:
Solution has been attached.
Hope it helps :)
Attachments:
Answered by
25
Answer:
55°
Step-by-step explanation:
Let there is a quadrilateral ABCD.
Given that,
- A = (2x+15)
- B = (2x-5)
- C = (3x+75)
- D = (3x-25)
Now, we know that,
Sum of all interior angles of a quadrilatral is equal to 360°.
Therefore, we will get,
=> 2x+15+2x-5+3x+75+3x-25 = 360
=> (2x+2x+3x+3x) + (15-5+75-25) = 360
=> 10x + 60 = 360
=> 10x = 360-60
=> 10x = 300
=> x = 300/10
=> x = 30
Therefore, we will get,
=> A = 2(30) + 15 = 60+15
=> A = 75°
=> B = 2(30) - 5 = 60-5
=> B = 55°
=> C =3(30) + 75 = 90+75
=> C = 165°
=> D = 3(30) - 25 = 90-25
=> D = 65°
Hence, smallest of the interior angles is B, i.e., 55°, i.e., (2x-5).
Similar questions