. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

Step-by-step explanation:

So let the angles be 2x,3x,5x

∠A + ∠B + ∠C + ∠C = 360

[Sum of all the angles of a quadrilateral ]

⇒2x+3x+5x+130=360

⇒10x = 360 -130

⇒x = 23

The angles are ,

∠A = 2x = 2×23 = 46

∠B = 3x = 3×23 = 69

∠C = 5x = 5×23=115

djverab [1.8K]3 years ago

5 0

Let the angles be 2x,3x and 5x

We know that 2x+3x+5x+130=360

10x+130=360

10x=230

Therefore x=23°

2x=46°

3x=69°

5x=115°

Hope it helped! Have a nice day!!

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