Question

four angles of a quadrilateral are 3x,4x,5x and 6x. find the measure of each angle of the quadrilateral​

Answer 1

Answer:

3x=3×20°=60°

4x=4×20°=80°

5x=5×20°=100°

6x=6×20°=120°

Step-by-step explanation:

The sum  of angles in quadrilateral is 360∘

3x+4x+5x+6x=360°

18x=360°

x=360°/18

=20°

3x,4x,5x and 6x.

3x=3×20°=60°

4x=4×20°=80°

5x=5×20°=100°

6x=6×20°=120°

Answer 2

★ Given :-

• Angles = 3x , 4x , 5x , 6x .

⠀⠀⠀⠀⠀⠀

★ To Find :-

• Measure of Each Angle = ?

⠀⠀⠀⠀⠀⠀

★ Solution :-

⠀⠀⠀⠀⠀⠀

∓ Here, it is given that, Angles of quadrilateral are 3x , 4x , 5x , 6x . And, we have to find Measure of Each Angle of the Quadrilateral .

⠀⠀⠀⠀⠀⠀

• Now, let's solve step by step -----

⠀⠀⠀⠀⠀⠀

◆ As we know,

• Sum of all angles are = 360° .

⠀⠀⠀⠀⠀⠀

∴ According to the question -----

⠀⠀⠀⠀⠀⠀

$\bull \: \sf{3x + 4x + 5x + 6x = 360} \\ \\ \dashrightarrow \: \sf{18 \: x = 360} \\ \\ \dashrightarrow \: \sf{x = \frac{360}{18} } \\ \\ \dashrightarrow \: \sf \pmb{x = 20}$

⠀⠀⠀⠀⠀⠀

★ Hence :-

⠀⠀⠀⠀⠀⠀

● The Angles of Quadrilateral are :-

• 3x = 3 × 20 = 60°
• 4x = 4 × 20 = 80°
• 5x = 5 × 20 = 100°
• 6x = 6 × 20 = 120°

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃