Question

In the figure above, b lies on ac. In terms of x which of the following must be equivalent to y

Answer 1

b) 3x + 10

Explanation:

Exterior angle property of triangle: Exterior angle equals the sum of opposite interior angles.

Exterior angle = x + y

Sum of interior opposite angles = 3x + (x + 10)

= 4x + 10

Exterior angle = sum of opposite interior angles

x + y = 4x + 10

y = 4x + 10 - x

y = 4x - x + 10 {Combine like terms}

= 3x + 10