Question

in a triangle the measure of angles are x , 3x and x +40. the measure of the smallest angle is. plz ans​

Answer 1

Answer:

28°

Step-by-step explanation:

Sum of angles in a triangle is 180°,

x + 3x + x + 40 = 180°

5x + 40 = 180

5x = 180 - 40

5x = 140

x = 140 / 5

x = 28°

3x = 84°

x + 40 = 68°

Here, smallest angle = x = 28°

Answer 2

$\huge\red{\underline{ \underline{Answer :}}}$

$Angles \: \: are \: \: : x , 3x \: \: and \: \: x+40$

$The \: \: sum \: \: of \: \: all \: \: angles \: \: of \: \: a \: \: triangle \: \: is \: \: 180° \: \: \: \: [Angle \: \: sum \: \: property]$

$So, (x)+(3x)+(x+40)=180$

$x+3x+x+40=180 \\ \\ 5x+40=180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 5x=180-40 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 5x=140 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x= \frac{140}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = 28 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\large{ \boxed{The \: \: smallest \: \: angle \: \: is \: \: x = 28°}}$

$\green{ \tt{Hope \: \: this \: \: helps \: \: you \: !}}$