Question

Find the values of a and bin the following figures.
a.
b.
40
110°​

Answer 1

Answer:

qn1.a=70 and b=40

qn2.a=.40 b=70

Answer 2

a. a° = 70°

110°+a°= 180° (linear pair)

a°=180°-70°

a° = 70°

110°+30°+b°=180°[angle sum property of triangle]

140°+b°=180°

b°=180°-140°

b°=40°

b.50°+60°+b°=180° [angle sum property of triangle]

110°+b°=180°

b°=180°-110°

b°=70°

b°=a°+ 30°. [exterior angle property]

70°=a°+30°

a°= 70°-30°

a°=40°

c.a°=40°. [given]

40°+ 40°+ b°= 180°

80°+ b°= 180°

b°= 180°- 80°

b°= 100°