Fewpal
+1 vote
159 views
in Mathematics by (29.7k points)

In the figure, if PT ⊥ PS, PQ || SR, ∠SQR = 28° and ∠QRT = 65°, then find the values of x and y.

1 Answer

+1 vote
by (127k points)
selected by
 
Best answer

In the given figure, lines PQ ⊥ PS, PQ || SR, 

∠SQR = 28° and ∠QRT = 65° 

∠PQR = ∠QRT [Alternate angles] 

⇒ x + 28° = 65° 

⇒ x = 65° – 28° = 37° 

In ∆PQS, 

∠SPQ + ∠PQS + ∠QSP = 180° [Angle sum property of a triangle] 

⇒ 90° + 37° + y = 180° 

[∵PQ ⊥ PS, ∠PQS = x = 37° and ∠QSP = y) 

⇒ 127° + y = 180° 

⇒ y = 180° – 127° = 53° 

Hence, x = 37° and y = 53° Ans.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...