In the figure AB parallel to CD If angle ABR = 45 degree and angle ROD = 105 degree - Maths - Lines and Angles

Question

In the figure AB parallel to CD If angle ABR = 45 degree and angle
ROD = 105 degree then find angle ODC

Mayank Jha · Accepted Answer

Dear student,

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_57bfff7b62a5d%20png"
style="width: 380px; height: 260px;">
Let us construct the lines OQ and RP
∠ABO = ∠BPD = 45°In △OPD, ∠OPD + ∠POD + ∠ODP = 180°or, 45° + 105° + ∠ODP = 180°or, ∠ODP = 180° - 45° - 105° = 30°Thus, ∠ODC = 30°

Regards

In the figure AB parallel to CD. If angle ABR = 45 degree and angle ROD = 105 degree then find angle ODC