Question

if the sizes of the angles of a triangle are 3x° , 4x° amd 5x° , find the smallest angle of the triangle . ​

Answer 1

Step-by-step explanation:

3x +4x+5x=180 (asp)

12x=180

x=15

smallest angle is 3x=3×12= 36 degrees

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Answer 2

$\huge \bf \pink{Required \: solution}$

$\bf \underline \red{given}\ratio$

• Size of the triangle is 3x°, 4x°, and 5x°.

$\bf \underline \orange{to \: find}\ratio$

• The smallest angle of the triangle.

$\bf \underline\purple{solution} \ratio$

We know that sum of angle is 180°.

→ 3x° + 4x° + 5x° = 180°

→ 3x° + 9x° = 180°

→ 12x = 180°

→ x = 180°/12°

→ x = 15°

smallest angle = 3x = 3(15) = 45 degrees

Therefore, the smallest angle is 45°.

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Extra information

A angle is formed by two rays that have a common point.

Suppose, one acute angle named P, Q, R is there. In that angle, angle Q, P and Q,R are called Arms Of The Angle.

The common point Q is the vertex of the angle.

We can also write this angle as:-

∠ PQR or ∠RQP or ∠Q

• Refer to the attachment mate..!!

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