Q. 94.2( 134 Votes )

# In the above figure both RISK and CLUE are parallelograms. Find the value of x.

Answer :

Adjacent angles of a parallelogram are supplementary

In parallelogram RISK,

∠RKS + ∠ISK = 180°

120° + ∠ISK = 180°

∠ISK = 60°

And, opposite angles of a parallelogram are equal

In parallelogram CLUE,

∠ULC = ∠CEU = 70°

The sum of the measures of all the interior angles of a triangle is 180^{o}

x + 60° + 70° = 180°

x = 50°

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Genius Quiz | Understanding Quadrilaterals20 mins

Quiz | Polygon & their Properties46 mins

Members of Quadrilaterals65 mins

Quadrilaterals32 mins

Champ Quiz | Polygons (Quadrilaterals)30 mins

NCERT | Understanding Important Laws49 mins

Champ Quiz | Cell44 mins

Understanding Quadrilateral43 mins

Rectangles, Squares and Kites30 mins

Rhombus Is Not Confusing.32 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.

RD Sharma - MathematicsThe angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is

NCERT - Mathematics Exemplar