Question

PQ||ABandPR||BC if angle QPR=110 degree find angle ABC

Answer 1

Answer:

The required value of ∠ABC is 70°

Explanation:

Given Problem:

6. In Fig. 8.110, PQ || AB and PR || BC. If angle QPR = 110°, determine angle ABC. Give reasons.

Solution:

We need to find ∠ABC

AB is produced to meet PR at K

Since, PQ ‖ AB

∠QPR = ∠BKR = 110°                     (Corresponding angles)

Since, PR ‖ BC

Therefore,

∠RKB + ∠CBK = 180°                         (Co. interior angles)

∠CKB = 180° – 110°

= 70°.............................................(Answer)

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