Question

in fig 80, line AC || line DE /_ABD = 32 degrees, find out the angles x and y if /_ E = 122 degrees​

Answer 1

Answer:

∠ABD=32  

o

 and  

line AC ∣∣ line DE

∴ ∠y and ∠ABD are supplementary angles.

Sum of supplementary angles is 180  

0

 

∴y+∠ABD=180  

0

 

∴y+32  

0

=180  

0

 

∴y=148  

0

 

Also, ∠ABE and ∠E are alternate angles .

Alternate angles formed by parallel lines are congruent.

∴∠ABE=∠E

∴∠ABD+∠DBE=122  

0

 

∴32  

0

+x=122  

0

 

∴x=90  

0

Step-by-step explanation: