Q11 of 24 Page 193

In the given figure ABCD is a square. Find the measure of .

Let be x.


ABCD is a square.


So, DA = DC (every side of square is equal)


Therefore,


∠ACD = ∠CAD = x°


∠ACD + ∠CAD + ∠ADC= 180° (ACD is right angled triangle)


x° + x° + 90° = 180°


2 x° = 90°


x° = 45°


More from this chapter

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9

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that .

 10

The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each of its sides.

 12

The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 90 cm. Find its length and breadth.

 13

Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.


(ii) The diagonals are equal and the adjacent sides are equal.


(iii) The diagonals are unequal and the adjacent sides are equal.


(iv) All the sides are equal and one angle is 60°.


(v) All the sides are equal and one angle is 90°.


(vi) All the angles are equal and the adjacent sides are unequal.