what is the value of x in trapezoid abcd?\no x = 15\no x = 20\no x = 45\no x = 60
what is the value of x in trapezoid abcd?\no x = 15\no x = 20\no x = 45\no x = 60
Answer
Explanation:
Step1: Recall trapezoid angle - sum property
In an isosceles trapezoid, base - angles are equal and the sum of adjacent angles along a non - parallel side is 180°. Here, angles (3x) and (9x) are adjacent angles along a non - parallel side. So, (3x + 9x=180).
Step2: Solve the equation
Combine like terms: (12x = 180). Then divide both sides by 12: (x=\frac{180}{12}=15).
Answer:
(x = 15)