Question

please help me to solve this​

Answer 1

Answer:

a) 100 °

Step-by-step explanation:

construction : extract line PA and AB , in such a way that they make ΔOPA

solution :

in triangle OPA

< APC + < OPA = 180°

=> 148 + < OPA = 180

=> < OPA = 32°

< PAB + < PAO = 180°

=> 132 + < PAO = 180°

=> < PAO = 48°

< POA + < PAO + < OPA = 180° ... ( BY PROPERTY OF TRIANGLE )

=> < POA + 48 + 32 = 180°

=> < POA = 100°

AB // CD ... ( GIVEN )

=> < POA = < x .... ( BY CORRESPONDING ANGLE )

=> x = 100°