Question

9. Given that AB II CD, find the values of the unknowns
in each of the following figures
(a) A
B
108
71
137
C С
E​

Answer 1

Answer:

Given, AB||CD.

Consider AC is transversal. z=125° Corresponding angles]

x = 180 - 125° [sum of angles in a straight line= 180° ]

x = 55°

We know that, sum of all the interior angles in a quadrilateral is 360°

ZA+B+C + ZD

x+x+z+y = 360°

55+55 125+ y = 360° ⇒ y = 125°

Step-by-step explanation: