Math, asked by Niharikamanro, 11 months ago

angles of triangle are in the ratio 2:4:3. Then find the smallest angle of the triangle​

Answers

Answered by xevilplaylistx
26

\huge\mathfrak{Heya\:Mate..!}

Ques: angles of triangle are in the ratio 2:4:3. Then find the smallest angle of the triangle.

Ans: According to angle sum property,

Angle A + Angle B + Angle C = 180°

A/Q, 2x + 4x + 3x = 180°

9x = 180°

x = 180÷9

x= 20°

angle A = 40

Angle B= 80

Angle C = 60

Hence,the smallest angle is angle A of 40°.

\huge\mathfrak{Hope\: it\:helps}

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Attachments:

Niharikamanro: hey! I have an another question can you answer me
Blaezii: I can try to solve
Blaezii: Nice Explanation ;)
xevilplaylistx: mine explanation?
Niharikamanro: it's that find the value of K if (x-1) is factor of P(x) =Kx^2-underroot 2x+1
xevilplaylistx: post the question ma'am
Niharikamanro: I have already posted it
xevilplaylistx: well its not there in your question bank
Niharikamanro: ok thanks
xevilplaylistx: nvm
Answered by Blaezii
13

Answer:

\large{\underline{\boxed{\tt 40\°}}}

Step-by-step explanation:

Given Problem:

Angles of triangle are in the ratio 2:4:3. Then find the smallest angle of the triangle​.

Solution:

To Find:

The smallest angle of the triangle​.

--------------------

Method:

Let the angles be "2x", "4x" and "3x."

By angle-sum property:

2x + 4x + 3x = 180°

 9x = 180°

 x  = 20°

Hence , the angles of the triangle are: 40° degrees, 80° degrees, and 60° degrees.

The smallest is, obviously, 40° degrees.

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