Question

The three angles of a triangle are 2x,3x,5x+40degree,then find the largest angle​

Answer 1

by angle sum property of triangle

2x+3x+5x+40=180

10x =140

x 140/10=14

2x=2×14=28

3x=3×14=42

5x+40=5×14+40=70+40=110

5x+40 is a largest angle

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Answer 2

• Largest angle is 110°.

Step-by-step explanation:

Given:-

• Three angles of triangle are 2x°, 3x° and 5x + 40°.

To find:-

• Largest angle.

Solution:-

We know that,

Sum of all interior angles of triangle is equal to 180°.

So,

$\leadsto$ 2x° + 3x° + 5x° + 40° = 180°

$\leadsto$ 10x° + 40° = 180°

$\leadsto$ 10x° = 180° - 40°

$\leadsto$ 10x° = 140°

$\leadsto$ x = 140°/10°

$\leadsto$ x = 14°

Verification:-

$\leadsto$ 2x° + 3x° + 5x° + 40° = 180°

• Put x = 14°

$\leadsto$ (2×14)° + (3×14)° + (5×14)° + 40° = 180°

$\leadsto$ 28° + 42° + 70° + 40° = 180°

$\leadsto$ 140° + 40° = 180°

$\leadsto$ 180° = 180°

Hence, Verified!!

Angles:

✳ 2x = 2×14 = 28°

✳ 3x = 3×14 = 42°

✳ 5x + 40° = 5×14 + 40° = 110°

Therefore,

Largest angle is 110°.