Question

if AB//FE and AF=FC then angle FCD equals to ​

Answer 1

Answer:

145 (unfortunately,there is no option in the question)

Step-by-step explanation:

/_ CAF= /_ BAF= 75⁰ (corresponding angles,given AB||FE)

Now /_ CAF= /_ BAF- /_ BAC

= 75-40

= 35⁰

Given that AF= FC

therefore /_CAF= /_ACF= 35⁰ (opp angles to equal sides,are equal in triangle ACF)

NOW /_ ACE+ /_ FCD= 180 (Linear pair)

/_ FCD= 180-35

= 145⁰

SO ANSWER IS /_ FCD= 145⁰

(This answer in not available in the ASKED QUESTION)