Question

find the value of x in each of the following diagrams ​

Answer 1

(i) here,x+41°+105°+130°=360° (complete angle)

x+276°=360°

x=84°

(ii)Similarly,x+40°+3x=180° (angles in a straight line)

thus,4x+40°=180°

4x=140°

x=35°

Answer 2

130°+105°+41°+x=360°

276°+x=360°

x=360°-276°

x=84°

3x+x+40=180°

4x+40°=180°

4x=180°-40°

4x=140°

x=35°