Question

In a quadrilateral two angles are equal and two angles are in ratio 3:4 and their sum is 140. Find all the angle.​

Answer 1

Answer:

3x+4x=140

7x=140

x=140/7

x=20

3x=3×20=60

4x=4×20=80

The two other angles are 60⁰ and 80⁰

Sum of angles in a quadrilateral=360⁰

So,

360⁰-(60⁰+80⁰)

360⁰- 140⁰

220⁰

Sum of other two angles = 220⁰

The angles are 220⁰÷2=110⁰

Angles are

110⁰,110⁰,60⁰,80⁰

Answer 2

Answer:

The sum of an quadrilateral triangle is 140 [ given ]

In a quadrilateral two angles are in the ratio 3:4

Let the two angles be 3x , 4x

A/q => 3x + 4x = 140

=> 7x = 140

=> x = 140/7 = 20

Angle ¹ = 3x = 3×20 = 60°

Angle ² = 4x = 4× 20 = 80 °

Let's check their sum = Angle ¹ + Angel ² = 140

=> 60°+80° =140 °

=> 140° = 140° proved.

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