According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.
x is 3/2. Replace this value in both expression to find the measure of each angle.
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years. Hence, x(x - 5) = 2/3 × y x² - 5x = 2 × 54 years / 3 x² - 5x = 36 years x² - 5x - 36 = 0 ∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169 √∆ = √169 = 13 x1 = (5+13)/2, x2 = (5-13)/2 x1 = 9, x2 = -4 Since, age can't be negative, Daniel's age = x = 9 years.