Q. 45.0( 3 Votes )

In the adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the geometrical truths you use to find them.


Answer :

HOP + 70° = 180° [Linear pair]


HOP = 180°-70°


HOP = 110°


HOP = x = 110° [In a parallelogram opposite angles are equal]


x + z + 40° = 180° [In a parallelogram sum of the adjacent angles is equal to 180°]


110° + z + 40° = 180°


z = 180° - 150°


z = 30°


z +y = 70°


y + 30° = 70°


y = 70°- 30°


y = 40°


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
RD Sharma | Understanding Shapes (Polygons) Part 142 mins
Basic Understanding of Polygons44 mins
Quadrilaterals32 mins
Various types of Force43 mins
Champ Quiz | Cell44 mins
Understanding Quadrilateral43 mins
NCERT | Understanding Important Laws49 mins
Genius Quiz | Understanding Quadrilaterals20 mins
Quiz | Polygon & their Properties46 mins
Types of Friction39 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
view all courses