Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
147 views
in Lines and Angles by (36.7k points)
closed by

If two interior angles on the same side of transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of two angles is 

A) 108° 

B) 120° 

C) 136° 

D) 54°

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

Correct option is (A) 108°

Let both angles are 2x and 3x.

\(\therefore\) 2x + 3x = \(180^\circ\)

\((\because\) Sum of interior angles on the same side of transversal while intersecting two parallel lines is \(180^\circ)\)

\(\Rightarrow\) 5x = \(180^\circ\)

\(\Rightarrow\) x = \(\frac{180^\circ}5=36^\circ\)

\(\therefore\) Greater angle = 3x \(=3\times36^\circ=108^\circ\)

+1 vote
by (38.9k points)

Correct option is  A) 108°

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

...