Question

in the following figure ab parallel to cd. determine the value of x.​

Answer 1

Answer:

30 = x

Step-by-step explanation:

If m∠A = 65°

then;

m∠C = 65, since AB is parallel to CD.

Now to find the measure of the top angle within the triangle would be:

180 - 65

Which results in: 115°

Finally to find the value of x, you can say:

180 - (Angle 1 + Angle 2) = x

180 - (115 + 35) = x

180 - 150 = x

30 = x

Therefore the value of x is 30°

Hope this helps!

Answer 2

Answer:

30°

Step-by-step explanation:

⇒ if ∠ A = 65°

⇒   ∠ C = 65° , since AB ║CD

⇒ Find the measure of top angle with in the triangle would be : 180° - 65°

                                                                                                    ⇒ = 115°

                       ⇒ Finally to find the value of xy can say = 180° ( ∠1 + ∠2 ) = x

                                                                                      ⇒ = 180° - ( 115° + 35° )

                                                                    ⇒ 180° - 150° = x

                                                                                 ⇒ 30 = x  

                                          therefore the value of x is 30