Question

angles in Δ are 2x,3x+5,4x-14,find∠'s

Answer 1

Answer:

Step-by-step explanation:

We know that the sum of interior angles of a triangle is equal to 180 , then

2x + 3x+5 + 4x-14 = 180

=> 9x - 9 = 180

=> 9(x - 1) = 180

=> x - 1 = 180/9

=> x - 1 = 20

=> x = 21

Three angles are :

2×21,3×21+5,4×21-14

42, 68, 70

Answer 2

Given :

          → Angles of a triangle :-

          → (2x)° , (3x+5)° , (4x-14)°

To find :

         → Measure of each angle of the triangle

Solution :

        → We know that in a triangle, the sum of all the angles will be equal to 180°, which is referred as Angle Sum Property.

• ∴ (2x)° + (3x+5)° + (4x-14)° = 180°
• 2x + 3x + 5 + 4x - 14 = 180°
• 9x - 9 = 180°
• 9x = 180° + 9
• x = ¹⁸⁹⁄₉
• x = 21

★ The value of x : 21

★ Measure of each angle :

• (2x)° = 2×21 = 42°
• (3x+5)° = 3×21+5 = 68°
• (4x-14)° = 4×21-14 = 70°

➔ Measure of each angles in triangle are :

• 42° , 68° , 70°

Verification :

• 42° + 68° + 70° = 180°   (Angle sum property)
• 180° = 180°