- In Fig. 2.31, ABCD is a cyclic quadrilateral such that AB || DC. If AĈD = 35º and DBC = 72°, calculate the sizes of the angles of the trapezium.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

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step-by-step explanation:

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x