Question

Question 2. In the given figure find the value of x in each angle of a triangle.

Very very important Plz.​

Answer 1

Explanation:

`\sf\pink{Given}`

• Angle A is ( x + 10 )

• Angle B is ( 3x + 5 )

• Angle C is ( 2x + 15 )

`\sf\pink{To\: Find}`

• Value of "x" is ?

Explanation :

Rule :

• Sum of all angles of a triangle is 180°

Therefore ,

`\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }`

`\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }`

`\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }`

`\longrightarrow\bf{6x + 30 = 180 }`

`\longrightarrow\bf{6x = 180 - 30 }`

`\longrightarrow\bf{6x = 150 }`

`\longrightarrow\bf{x = (150)/(6)}`

`\longrightarrow\bf\pink{x = 25}`

Therefore value of x is 25 .

Now, finding the the measure of each angle by putting the value of "x" in their places.

∠A = (x + 10)° => (25 + 10)° => 35°

∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°

∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°