Kindly Answer No 11-i-ii-iii Q 11 From the adjoining figure, find (i) x (ii) ∠DAB (iii) - Maths - Understanding shapes

Question

Kindly Answer No 11-i-ii-iii
Q 11 From the adjoining figure, find

(i) x
(ii) ∠ DAB
(iii) ∠ ADB

Shruti Tyagi · Accepted Answer

Dear Student,

i) value of xin quadrilateral ABCD, sum of all angles is 360∠ADC+∠CBA+∠DCB+∠BAD=360⇒3x+10+3x+4+50+x+5x+8=360⇒12x+22+50=360⇒12x+72=360⇒12x=360-72⇒12x=288⇒x=28812⇒x=24°ii)∠DAB∠DAB=3x+4putting value of x=24∠DAB=3×24+4∠DAB=72+4∠DAB=76°iii)∠ADBIn △ADB, sum of all angles is 180⇒∠ADB+∠DAB+∠ABD=180⇒∠ADB+76+50=180  --∠DAB=76 from ii⇒∠ADB+126=180⇒∠ADB=180-126⇒∠ADB=54°

Regards,

Kindly Answer No. 11-i-ii-iii Q.11. From the adjoining figure, find (i) x (ii) ∠ DAB (iii) ∠ ADB

Kindly Answer No. 11-i-ii-iii
Q.11. From the adjoining figure, find

(i) x
(ii) $∠$ DAB
(iii) $∠$ ADB