Question

Calculate the measures of x y z in the diagram given beloe​

Answer 1

Y=180°-70°=110°

Z=180°-y
=180°-110°
=70°

X=y
X=110°

Answer 2

Explanation:

Solution,

∠IDJ = 70° ( being alternate angle in AB || CD )

∠ IDJ + x = 180° ( being co-interior angle in EF || GH )

or , 70° + x = 180°

or , x = 180° - 70°

x = 110°

Again,

∠BLH = ∠CKG ( Being alternate angle in AB || CD )

y = 110°

Finally ,

z + y = 180° ( Being adjacent supplementary angle )

or , z + 110° = 180°

z = 70°

Thus , x = 110 ° , y = 110 ° and z = 70°