Question

find the value of x, of the angle of a triangle have measures ( x+40°), (2x+20°) and 3x.also, state which type of triangle is this? ​

Answer 1

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find the value of x, of the angle of a triangle have measures ( x+40°), (2x+20°) and 3x.also, state which type of triangle is this?

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First ,second and third angle of a triangle are:( x+40°), (2x+20°) and 3x respectively.

$= > x + 40 + 2x + 20 + 3x = 180°(Angle \: sum \: property)$

$= > 6x + 60 = 180$

$= > 6x = 120$

$= > x = 20°$

First Angle :x+40°=20°+40°=60°

second angle:2x+20°=2×20+20=40°+20°=60°

Third angle:3x=3×20°=60°

Here,all three angles of a triangle are 60° each

therefore,It is a equilateral triangle.

What is equilateral Triangle....??

• An equilateral triangle is a triangle having all three sides and all 3 angles are equal.

$\bold{\boxed{Area \: of \: an \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {a}^{2} (a = side)}}$

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Answer 2

Answer:

as we know that the sum of interior angle of triangle =180

so (x+40)+(2x+20)+3x=180

x+2x+3x+40+20=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

first angle is x+40=20+40=60

second angle is=2x+40=2*20+40=40+40=80

third angle is=3x=3*20=60

so this is acute angle