Question

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Answer 1

Answer:

Therefore the three angles are 42,68 & 70

Step-by-step explanation:

Given,

The angles of a triangle are 2x, 3x+5 and 4x-14

2x + (3x+5) + (4x-14) = 180 (Angle sum property of a triangle)

9x-9=180 ( sending - 9 to right hand side it becomes +)

9x=189

x = 21

Substitute value of x in the given angles

2x = 2(21) = 42°

(3x+5) = 3(21)+5 = 63+5 =68°

(4x-14) = 4(21)-14 = 84-14 = 70°

Answer 2

Question:-

The angles of a triangle are 2x° , (3x + 5)° & (4x - 14)°. Find the measure of each angle.

Answer:-

Given:

Measures of three angles of a triangle are 2x° , (3x + 5)° & (4x - 14)°.

We know that,

Sum of three angles of a triangle = 180°

⟹ 2x + 3x + 5 + 4x - 14 = 180

⟹ 9x = 180 + 14 - 5

⟹ 9x = 189

⟹ x = 189/9

⟹ x = 21

Therefore,

• First angle = 2x = 2(21) = 42°.

• Second angle = (3x + 5) = 3(21) + 5 = 63 + 5 = 68°.

• Third angle = 4x - 14 = 4(21) - 14 = 4(21) - 14 = 84 - 14 = 70°.

Verification:

Sum of the three angles = 180°

⟹ 42° + 68° + 70° = 180°

⟹ 180° = 180°

Hence, Verified.