Question

A quadrilateral has three angles equal to 65∘,75∘ and 110∘. Find its unknown angle. ( A ) 100∘ ( B ) 80∘ ( C ) 75∘ ( D ) 90∘

Answer 1

Step-by-step explanation:

a+b+c+d = 360

65+75+110 + d = 360

140 + 110 + d = 360

d = 360 - 250

d = 110 °

Answer 2

Step-by-step explanation:

LET THE UNKNOWN ANGLE BE 'x'.

THEREFORE, BY ANGLE SUM PROPERTY OF A QUADILATERAL

=angle 65 + angle 75 + angle110+ angle x = 360

=angle 250 + angle x = 360

= angle x = 360 - 250

=angle x = 110

• HENCE THE CORRECT ANSWER IS 110 DEG.