Question

IN TRIANGLE ABC , A= X, B = 2X-15) DEGREES AND C = 3X + 21

FIND THE ANGLE OF X

Answer 1

Step-by-step explanation:

$\huge\fcolorbox{black}{green}{Given}$

SIDES OF TRIANGLE :

• Angle A = x

• Angle B = 2x - 15

• Angle C = 3x + 21

$\huge\fcolorbox{black}{green}{Formula Used}$

Sum of all the Angle of ∆ = 180

Angle A + Angle B + Angle C = 180°

$\huge\fcolorbox{black}{green}{Solution}$

➣ (x) + (2x - 15) + (3x + 21) = 180°

➣ x + 2x - 15 + 3x + 21 = 180°

➣ 6x + 6 = 180°

➣ 6x = 180 - 6

➣ 6x = 174

➣ x = 174/6

➣ x = 29

$\huge\fcolorbox{black}{green}{Now Check}$

• Angle A = 29°

• Angle B = 2 * 29 - 15 = 43°

• Angle C = 3 * 29 + 21 = 108°

• 29° + 43° + 108° = 180°

$\huge\bold\color{green}{Hence Verified}$

$\huge\fcolorbox{black}{yello}{LHS = RHS}$

Answer 2

$\LARGE{ \underline{ \red{ \sf{Required \: answer:}}}}$

In ∆ ABC,

∠A = X°

∠B = (2x -15)°

∠C = (3x + 21)°

sum of measure of all angles of a triangle is 180°

therefore,

∠A+∠B+∠C = 180°

X° + (2x-15)° +(3x+21)°= 180

6x + 6 = 180

6x = 180-6

6x = 174

x = 174/6

= 29°

Ans. Measure of the angle X is 29°

hope it helps........ ✨