Math, asked by shritikashriti22, 4 months ago

answer correctly please​

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Answers

Answered by likitha1359
0
X: Y: Z=4: 5: 6
As we know that sum of all angels on a straight line 180°
4n+5n+6n=180°
15 n = 180°
n=12°
Y=5n=60
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Answered by Aryan0123
5

Given:

  • AOB is a straight line.
  • x:y:z = 4:5:6

To find:

  • y = ?

Method:

First let's understand the concept used.

Here,

→ Sum of all angles on a straight line is 180°

∠AOC + ∠COD + ∠DOB = 180°

⇒ x + y + z = 180°

⇒ 4x + 5x + 6x = 180°

⇒ 15x = 180°

⇒ x = 180 ÷ 15

⇒ x = 12°

From the figure,

y = 5x = 5(12) = 60°

Therefore, y = 60°

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