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GradeAngles of a parallelogram

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In a parallelogram $ABCD$ if angle $D = 125^\circ $, then the other angles are?

Show that the angle bisectors of a parallelogram form a rectangle.

In quadrilateral ABCD,\[AB\parallel CD\]\[\angle D = 2\angle B\], \[AD = b\] and \[CD = a\] then length of side AB is

A.\[a + 4b\]

B.\[a - 3b\]

C.\[a - 2b\]

D.\[a + b\]

A.\[a + 4b\]

B.\[a - 3b\]

C.\[a - 2b\]

D.\[a + b\]

Adjacent angles in a parallelogram are

(A) complementary

(B) Supplementary

(C) ${120^ \circ }$

(D) None of the above.

(A) complementary

(B) Supplementary

(C) ${120^ \circ }$

(D) None of the above.

PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm, then find QN if PS = 8 cm.

ABCD is a quadrilateral inscribed in a circle with center O, \[\angle ADC = {130^ \circ }\] and \[AD = DC\]. Calculate:

(i) reflex \[\angle AOC\]

(ii) \[\angle ABC\]

(iii) \[\angle AOD\]

(i) reflex \[\angle AOC\]

(ii) \[\angle ABC\]

(iii) \[\angle AOD\]

In the given figure $ABCD$ is a parallelogram. Find the angles $x{\text{ and }}y$

In the adjoining figure $ABCD$ is a parallelogram in which $\angle CAD = 40^\circ $, $\angle BAC = 35^\circ $ and $\angle COD = 65^\circ $. Calculate

A) $\angle ABD$

B) $\angle BDC$

C) $\angle CBD$

A) $\angle ABD$

B) $\angle BDC$

C) $\angle CBD$

Is quadrilateral ABCD a parallelogram, if $\angle A=70{}^\circ $ and $\angle C=65{}^\circ $ ? Give reason.

Find the measure of all the angles of the parallelogram if one angle is 24 less than twice the smallest angle.

In a parallelogram, the sum of adjacent angles is

A) $90^\circ$

B) $180^\circ$

C) $270^\circ$

D) $360^\circ$

A) $90^\circ$

B) $180^\circ$

C) $270^\circ$

D) $360^\circ$

Sum of the adjacent angles of a parallelogram is equal to

A) 60$^\circ $

B) 90$^\circ $

C) 150$^\circ $

D) 180$^\circ $

A) 60$^\circ $

B) 90$^\circ $

C) 150$^\circ $

D) 180$^\circ $

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