Question

The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5 find each angle of the triangle

Answer 1

Answer:

Base angle = 40° and vertical angle= 100°

Step-by-step explanation:

Let, the base angle be = 2x°         [where x be a common factor]

       The vertical  angle be = 5x°

∴ Sum of the angles of a triangle = 180°

or, 180= 2x+2x+5x

or, 9x = 180

or, x = 180/9

or, x= 20

∴ Base angle = 2x= (2*20)° = 40°

  Vertical angle = 5x = (5*20)°= 100°

Answer 2

Answer:

Base angle = 40° and vertical angle= 100°

Step-by-step explanation:

Let, the base angle be = 2x°         [where x be a common factor]

      The vertical  angle be = 5x°

∴ Sum of the angles of a triangle = 180°

or, 180= 2x+2x+5x

or, 9x = 180

or, x = 180/9

or, x= 20

∴ Base angle = 2x= (2*20)° = 40°

 Vertical angle = 5x = (5*20)°= 100°

Step-by-step explanation: