Question

in the following figure find the size of the lettered angles

Answer 1

angle b= 75° (Vertically opposite angle)

angle a+angle b=180° (linear pair)

angle a + 75=180

angle a= 105°

angle b=angle c=75°(Alternate exterior angle)

angle a =angle d=105°(Alternate exterior angle)

Answer 2

$\sf \red { \fbox{here \: is \: your \: answer}}$

$\sf \pink{ \tt{∠b=75° (Opposite \: Angles)}} \\ </p><p>\sf\blue{\tt{∠a=105°(Angles \: on \: same \: line \: is \: 180°)}}$

$\sf \green{∠c=105°(Alternate \: interior \: Angles \: are \: same} \\ \\ \\ \sf \purple{∠d=75°(Alternate \: exterior \: angle are equal)}$