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The Angles of a Triangle Are (X − 40)°, (X − 20)° and `(1/2x-10)^@.` Find the Value of X - Mathematics

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प्रश्न

The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x 

उत्तर

Given that 

The angles of triangle are 

`(x-40^@),(x-20)^@ and (x/2-10)^@`  

We know that 

Sum of all angles of traingle is `180^@` 

∴ `x-40^@+x-20^@+x/2-10^@=180^@` 

`2x+x/2-70^@=180^@`

`(5x)/2=180+70^@` 

`5x=250^@(2)` 

`x=50^@(2)` 

`x=100^@` 

∴ `x=100^@` 

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अध्याय 11: Triangle and its Angles - Exercise 11.1 [पृष्ठ १०]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 11 Triangle and its Angles
Exercise 11.1 | Q 3 | पृष्ठ १०
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