Question

In the given figure, find the value of X and all the angels of the triangle. ​

Answer 1

Answer:

Y= 78° , x=17° , 5x = 17×5 = 85°

Step-by-step explanation:

y +102 = 180

y = 78°

By ASP(angle sum property) of triangle x+y+5x = 180°

78 + x + 5x = 180

78 + 6x = 180

6x = 102

x = 102/6

x = 17°

And , 5x = 17×5= 85°

Answer 2

Given :-

• Angle A = x°
• Angle B = 5x°
• Angle C = y°
• Angle ACD = 102°

Need to find :-

• All angles of triangle
• Value of x

Procedure :-

Value of inner side of Angle C ( y°) ==>

y° + 102° = 180° [ linear pair ]

y° = 180° - 102°

y° = 78°

Angle A + Angle B + Angle C = 180° [ sum of angles of triangle is 180° ]

x° + 5x° + 78° = 180°

6x + 78° = 180°

6x = 180° - 78°

6x = 102°

x = 102/6 = 17°

Conclusion :-

Angle A = x° = 17°

Angle B = 5x° = 5 × 17 = 85°

Angle C = y° = 78°