Question

4. CD is parallel to AB and the measure of anglet is equal to 90
degrees. Find the area of the circle in terms of x.​

Answer 1

Answer:

Step-by-step explanation:

Let AB is parallel to FG, then ∠ABE=∠BEG=120°(Alternate angles)

Also, it is given that CD is parallel to AB and we have assumed that AB is parallel to FG, then CD is parallel to FG

Therefore, considering CD║FG and CE is the transversal, then

∠DCE+∠CEG=180°(Co-interior angles)

100°+∠CEG=180°

∠CEG=80°

Now, ∠BEG=∠BEC+∠CEG

120°=x+80°

x=40°

Thus, the value of the ∠BEC=x=40°