Smita04 wrote:

Bunuel, can you help me with this question? I am not sure if this is a GMAT type question.

What is the value of x in the octagon?

A. 180

B. 540

C. 360

D. 135

E. 120

Hey,

I'm assuming that this is a regular octagon. This can be divided into 8 congruent triangles.

So the measure of the angles around the center = 360 degrees

There can be 8 triangles around the center and the measure of the apex angle, q for each triangle will be equal.

Hence each apex angle, q = 360/8 = 45

Hence, measure of angle x = 180 - 45 = 135 degrees.

Answer is D.

Regards,

Shouvik.

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