Question

find the value of x

Answer 1

✍HERE IS YOUR ANSWER...⤵⤵
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$\underline{SOLUTION}$ ➡

$\bold{From \: \: the \: \: above \: figure \: \: we \: \: get}$

$<b>( 3x + 40° ) + 4x = 11x - 60°$

=> 3x + 40° + 4x = 11x - 60°

=> 7x + 40° = 11x - 60°

=> 7x - 11x = - 60° - 40°

=> - 4x = - 100°

=> x = $\frac{ - 100°}{ - 4}$

=> x = 25°

•°• The value of x = 25°

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Answer 2

$hey \: mate \: here \: is \: your \: answer \:$

$\textbf{Given...}$. ( FOR SIMPLICITY LET SIGN OF ANGLE BE '<' THIS )

So We Have ...

< ACB = 4x °

< CAB = 3x + 40°

<CBD = 11x - 60°

And Now We Need To Find Value Of ' X '

So Now Let's Move To Solution ....

$\textbf{Solution..}$

Now To Find Value Of 'X' Follow The Simple Steps....

1 ) Here <CBD Is The Exterior Angle Of ∆ABC

<BAC & <ACB Are Interior Angle of ∆ABC

So We Know An Exterior Angle Theorem That Is ...

$\textbf{Exterior Angle Of A Triangle Is Equal To Sum of}$ $\textbf{Interior Opposite Angle Of Triangle}$

So Now Using This Theorem In This Question we Have...

$\textbf{Angle CBD = BAC + ACB}$

So Now Putting Values of <CBD = 11x-60° , <ACB = 4x And < BAC = 3x + 40°

So We Have ...

$\textbf{11x - 60 = (3x + 40) + (4x) \:}$

Now Opening Bracket Of RHS We Have...

$11x - 60 = 3x + 40 + 4x$

Now Comparing Like Terms We Have ➡️

$11x - 60 = 7x + 40$

Now Bringing All Variable Terms To LHS And All constant To RHS We Have.....

$11x - 7x = 40 + 60$

That Is .....

$4x = 100$

Now Bringing 'x' To RHS We Have ➡️

$x = \frac{100}{4} = 25$

$\textbf{Hence We Have Value Of 'X' Equal To..}$

$\boxed{X \:=\: 25°}$

Hence The Required Answer Is

$\huge{25°}$

Be Brainly......