Question

In the given figure, AB|| CD. and l is a transversal . if /_ 1 is 55°, then find all the other angles.​

Answer 1

Step-by-step explanation:

Clearly, a ray t stands on the line AB making adjacent angles /_1 and /_2

therefore

/_1 and /_2=180°

55°+/_2=180°

/_2=(180°-55°)=125°

Therefore

/_4=/_2=125° [Vertically opposite angles]

and /_3=/_1=55° [Vertically opposite angles]

Now, AB||CD and t is the transversal..

.°. /_5=/_3=55° [ alternate interior angles]

/_6=/_4=125° [ alternate interior angles]

/_7=/_3=55° [ corresponding angles ]

And /_8=/_4=125° [ corresponding angles ]

.°. /_2=125° , /_3=55° , /_4=125° ,

/_5=55° ,/_6=125° , /_7=55° and

/_8=125°.

I hope it will help you!!❤❤