Question

please answer and give explanation ​

Answer 1

Answer:

i) x & y= 75 degree,ii)d=130 degree,iii) yes,they are paralleliv) x= 175 degree.

Answer 2

Answer:

(I) Angle x = 75* And Angle y = 75*

(II) Angle d = 130*

(III) Yes

(IV) Angle x = 75*

(V) Are 180*

Step-by-step explanation:

1. In the 1st one We found x by the Vertically OPP. Angle property As the lines are parallel Same as we found y by the alternate interior angles are equal in between 2 parallel lines
2. First we remove the alternate angle by subtracting 50*- 180* as the sun of angle in a line segment is 180* then we get our answer another was is to take the given angle as vertically OPP angle and add the some of 2 interior angles as 180*
3. If The alternate interior angles are equal then the lines are parallel theorem
4. Find the alternate angle i.e., 105* Now 105*+ x* = 180* Sum of angles on a line segment so By transposing x* = 180* - 105* i.e., 75*