Question

Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minus 30) degrees. At the intersection of m and j, the uppercase right angle is y. At the intersection of lines k and n, the bottom left angle is (x + 50) degrees. Find the values of x and y that make k || j and m || n. x = ° y = °

Answer 1

Answer:

x=80 and you=130is the ans

Answer 2

Given : k || j and m || n

Vertical lines m and n are intersected by lines k and j.

To Find : Value of x & y

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Interior angles are supplementary. ( adds up to 180°)

x - 30  and x + 50 are interior angle  

if m || n  and k is transversal

Hence x - 30° + x + 50°= 180°

=> 2x = 160°

=> x = 80°

=> x - 30°  = 80° - 30° = 50°

k || j  and m is transversal

x - 30° and y are  interior angle  

=> 50° + y  = 180°

=> y = 130°

x = 80°  and y = 130°

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