Answer the 5th question."DON'T SEND THE SIMILAR QUERY.KINDLY PERFORM THE CALCULATION STEP BY STEP" Answer the 5th question."DON'T SEND THE SIMILAR QUERY.KINDLY PERFORM THE CALCULATION STEP BY STEP" 'D is a parallelogram. Find SAOO. (c) In figure (3) given below. ABCI.• is a rhombus. Find the value Of (1) (2) (3) 5. (a) In figure (I) given below, ABCD is a parallelogram with perimeter V). Find values of x and y. (b) In figure (2) given below, A BCD is a parallelogram. Find the values of x andy. (c) In figure (3) given below, ABCD is a rhombus. Find x and y. c (2) (1) (3) 6. The diagonals AC and BD of a rectangle ABCD intersect each other at P. If LABD = 500, find ZDPC. (1) given below, equilateral triangle EBC surmounts square ABCD. Find 7. (a) In fi Share with your friends Share 0 Shruti Tyagi answered this Dear student, 5 a) Since ABCD is a ∥gm ⇒AB=CD ...Opposites sides are equaland AD=BC ...Opposites sides are equal⇒2y+2=3x⇒3x-2y=2 ...(i)also,Perimeter of ∥gm=sum of sides ⇒40=2x+2y+2+3x+2x⇒40-2=7x+2y⇒7x+2y=38 ...(ii)On solving (i) and (ii)3x-2y=27x+2y=38 On adding10x=40⇒x=4and putting x=4 in (i)3×4-2y=2 ⇒-2y=2-12⇒-2y=-10⇒y=-10-2=5thus the value of x=4 and y=5b) Since ABCD is a ∥gm ⇒∠B+∠C=180° ...sum of angle on same side of transversal⇒y+15°+x+40°=180°⇒x+y=180°-55°⇒x+y=125° ....(i)and ∠A+∠B=180° ...sum of angle on same side of transversal⇒3x-20+y+15=180°⇒3x+y=180°+5⇒3x+y=185° ....(ii)Solving (i) and (ii)x+y=125° 3x+y=185°- - --2x=-60°⇒x=30°put x=30° in (i)we get, 30°+y=125°⇒y=125°-30°⇒y=95°thus the value of x=30° and y=95°c) Applying the property of diagonal of rhombus i.e, Diagonal bisects the opp. angle of rhombus and opp. angles of rhombus are equal⇒∠A=∠C=60° and ∠D=∠B∠A+∠B+∠C + ∠D=360°⇒60+60+∠B + ∠D=360°⇒∠B+ ∠D=360°-120°⇒∠B + ∠D=240°⇒2∠B=240°⇒∠B=240°2=120°therefore, ∠B=∠D=120°since Diagonal bisects the opp. angle of rhombus ∴∠ADB=∠CDB=1202=60°Similaly, ∠ABD=∠CBD=60°Since all angles of ∆ABD is 60° ∴ its an equilateral ∆hence, AB=BD=AD⇒4x-4=3x+2=y-1 I II III Solving I and II4x-4=3x+2⇒4x-3x=2+4⇒x=6Now putting the value of x=6 and soving II and III3×6+2=y-1⇒18+2=y-1⇒y=20+1⇒y=21thus the value of x=6 and y=21 Regards 1 View Full Answer