Question

An octagon has angles of 120degree,140degree,170degree and 165degree.the other angles are all equal.find their measures

Answer 1

Answer:

sum of all angles of octagon=1080degree.

octagon=8 Angles

2 angle= 120 degree

sum of this 2 angle=2×120=240

remaining sides=8-2=6angles

remaining angle measurement=1080-240=840

now, let's consider remaining 6 angles as 6a and remaining 840 degree

6a=840

a=840÷6

a=140 degree.

therefore, the measurement of remaining angles=140 degrees

proof=

140 ×6 +240

=1080 proved