Q. 144.9( 9 Votes )

Two complementary angles are in the ratio 4:5 Find the angles.

Answer :

40°, 50°


Let angle = X


Complementary of X = 90° – X


According to question,


X : 90° – X = 4 : 5


X / (90° – X) = 4 / 5


5X = 4(90° – X)


5X = 360° – 4X


5X + 4X = 36


9X = 36


X = 40°


Therefore angle = 40°


And its supplement = 90° – 40° = 50°


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles40 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles43 mins
Lines and AnglesLines and AnglesLines and Angles45 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles45 mins
NCERT | Angle Sum PropertyNCERT | Angle Sum PropertyNCERT | Angle Sum Property44 mins
Smart Revision | All Types of AnglesSmart Revision | All Types of AnglesSmart Revision | All Types of Angles31 mins
Bonus Questions on Lines and AnglesBonus Questions on Lines and AnglesBonus Questions on Lines and Angles42 mins
NCERT | Intersecting and Non Intersecting lines)NCERT | Intersecting and Non Intersecting lines)NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And AnglesNCERT | Discussion on Lines And AnglesNCERT | Discussion on Lines And Angles45 mins
NCERT | Lines and Angles Part - 1NCERT | Lines and Angles Part - 1NCERT | Lines and Angles Part - 142 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses