Question

In a quadrilateral, ∠A=∠B=75° and ∠D=110°, find ∠C. ( A ) 120∘ ( B ) 100∘ ( C ) 90∘ ( D ) 180∘

Answer 1

Answer:

100

Step-by-step explanation:

Angle a =75°,angle b=75° and angle d = 110°.

The sum of all angles of a quadrilateral =360°.

Therefore,angle c =

a+b+c+d=360

75+75+c+110=360

260+c=360

c=360-260 =100

Therefore angle c =100°

Answer 2

Answer:

THE ANSWER IS OPTION (B) 100

Step-by-step explanation:

SUM OF ANGLES IN QUADRILATERAL IS 360, THEN  ∠A+∠B+∠C+∠D = 360

75+75+∠C+110=360

260+∠C=360

∠C=360-260

∠C=100