Question

A 10-sided polygon has four equal angles and measure of each of the other angles is 40°
Find the measure of equal angles.​

Answer 1

Answer:

total angle sum in a 10 sided polygon = 10×90=900

by angle sum property,

4a+6×40=900

4a=900-240=660

a=660÷4=165

therefore measure of each equal angle is 165

Answer 2

Step-by-step explanation:

The sum of angles of a decagon=(n-2)×180°

=(10-2)×180°

=8×180°

=1440°

Now,

Let the four equal angles be 4x

A/Q

=→ 4x + 6 × 40° =1440°

=→ 4x + 240° = 1440°

=→ 4x = 1440° - 240°

=→ 4x = 1200°

=→ x = 1200÷4

=→ x = 300°

Therefore,measure of each equal angle is 300°

✓