In Fig. 6.1, if AB || CD || EF, PQ || RS, ∠RQD= 25° and ∠CQP = 60°, then ∠QRS is equal
Question
Solution
To find the measure of ∠QRS, we can use the properties of parallel lines and transversals.
Given that AB || CD || EF and PQ || RS, we can conclude that ∠CQP and ∠RQD are corresponding angles. Corresponding angles formed by a transversal and parallel lines are congruent.
Therefore, ∠CQP = ∠RQD = 25°.
Since ∠CQP = 60°, we can subtract ∠RQD from ∠CQP to find the measure of ∠QRS.
∠QRS = ∠CQP - ∠RQD = 60° - 25° = 35°.
Therefore, ∠QRS is equal to 35°.
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