Question

The chagram shows a regular octagon joined to an equilateral triangle

NOT TO
SCALL
Work out the value of​

Answer 1

x = 165°

Explanation:

x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)

Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)

An equilateral ∆ has equal angles, each measuring 60°.

Therefore:

x° = 360° - (135° + 60°)

x = 360 - 195

x = 165°