Question

Given that AB//CD then find the unknown value of c and d ....only answer with explanation nothing else plzzz

Answer 1

Answer:

c = 39 deg   and d = 77 deg.

Step-by-step explanation:

From the figure, ∠GHE=∠FHI  ( vertically opposite angles)

Therefore, ∠GHB = ∠GHE + ∠EHB

                             =  64 + 45 = 109 deg.

Now, ∠HID = ∠GHE = 109 deg.  (corresponding angles)

Now,  ∠CIF, ∠FIH,∠HID make up a linear angle.

Therefore, c+32 + 109 = 180

                => c = 39 deg.

And in triangle HFI , d+c+64 =180

                                d = 180 - 64-39

                                d = 77 deg.