Question

Q1.The angle of the triangle are 3x-2, 2(x+1) and 10(x + 12). Find the value of largest angle.

* (a) 140° O (b) 150° O (C) 160° O (d) 130

Answer 1

Step-by-step explanation:

AnswEr :

• S U M⠀A N G L E⠀P R O P E R T Y :

Angle sum property of a triangle says that Sum of all angles of a triangle is equal to 180°.

↠ 3x – 2 + 2(x + 1) + 10(x + 12) = 180°

↠ 3x – 2 + 2x + 2 + 10x + 120 = 180°

↠ 15x + 120° = 180°

↠ 15x = 180° – 120°

↠ 15x = 60°

↠ x = ⁶⁰⁄₁₅

↠ x = 4

∴ The Value of 'x' is 4.

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• A N G L E S⠀O F⠀T R I A N G L E :

• First angle = (3x – 2)° = 3(4) – 2) = 12 – 2 = 10°
• Second angle = 2(x + 1)° = 2(4 + 1) = 2(5)° = 10°
• Third angle = 10(x + 12)° = 10(4 + 12)° = 10(16)° = 160°

∴ Hence, the largest angle of the triangle is Option ( c ) 160° respectively..

Answer 2

Step-by-step explanation:

The x +10,

2x-30x, are angles of triangle

By angle sum property

Sum of all angles is 180.

x+10+2x-30+x= 180.

4x-20 = 180

4x = 180+ 20

4x = 200

$x = \frac{200}{4 }$

$x = 50$

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