Question

Please solve this step by step

Answer 1

Answer:

Step-by-step explanation:

angle x: 55'

because in the bottom of the figure there are the 125' angle and the 110' angle.

By producing the base of the 125' angle towards the left it becomes a linear pair whose partner is 55' .  And x is its alternate interior angle.

angle y: 70'

because, angle sum property of a quadrilateral is 360'  

so, we have 55' + 125' +110' + z = 360'                  (quadrilateral in the lower part)

                   therefore, z = 70'              (top-right angle in the lower                                                                                                                                 quadrilateral)          

         angle z and angle y are alternate interior angles and they are equal