w
Q3. The
angles of
of a quadrilateral are in the
ratio 1:3:5:6. Find the measure of t
smallest angle.
Answers
Answer:
24 degrees will be the smallest angle
Answer:
All four angles of the quadrilateral will be : 24°, 72°, 120°, 144°
Step-by-step explanation:
Given that,
The angles of a quadrilateral are in the ratio is
1 : 3 : 5 : 6
Considering the angles as :
→ 1x
→ 3x
→ 5x
→ 6x
- As we know that the all angles of a quadrilateral measures 360°
Here, the four angles will ba added up to 360°
A/q,
⇒ 1x + 3x + 5x + 6x = 360°
⇒ 15x = 360°
⇒ x = 360/15
⇒ x = 24°
Therefore, we've got the value of x as 24°
So, the all four angles will be :
→ 1x = 24°
→ 3x = 3(24) = 72°
→ 5x = 5(24) = 120°
→ 6x = 6(24) = 144°
- Among all of them the smallest angle is 144°
Hence, the smallest angle is 24° ☑
Verification :
According to the angle sum property of a quadrilateral it says that all angles of a quadrilateral is equal to 360°
Here, all the angles must be equal to 360°
So,
→ 1x + 3x + 5x + 6x
From the values :
→ 24 + 72 + 120 + 144
→ 360°
As a result it sums to 360°