Question

angles of quadrilateral are in the ration 3:4:4:7 . find all the four angles of the quadrilateral​

Answer 1

Answer:

the angles are:-

60,80,80 and 140

Step-by-step explanation:

3x+4x+4x+7x=360

18x=360

x=20

Answer 2

Given :

• angles of the quadrilateral is in ratio 3 : 4 : 5 : 6

Solution :

As we know,

$\red{ \underline {\boxed{ \tt{ \green{The \: sum \: of \: all \: angles \: of \: a \: quadrilateral \: is \: \color{gold} 360°}}}}}$

Let the angles be

• 3x, 4x, 4x and 7x

$\tt \to 3x + 4x + 4x + 7x = 360$

$\tt \to16x = 360$

$\tt \to \: x = \frac{360}{16}$

$\tt \to \: x = 22.5$

Therefore, the angles are

• 3x = 3(22.5) = 67.5°
• 4x = 4(22.5) = 90°
• 4x = 4(22.5) = 90°
• 7x = 7(22.5) = 157.5°