Question

Helppp!!!! please!!!

Answer 1

Answer:

B) 135 degrees

A) 83 degrees

Step-by-step explanation:

Each interior angle of a regular octagon is 135 degrees large.

In question two, <1 is an inscribed angle.  A circle has 360 degrees, so the intercepted arc of <1 is 166, so m<1=83.

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Answer 2

Answer:

B. 135 deg

C. 79 deg

Step-by-step explanation:

We con only find a solution if the octagon is regular. This is not stated in the problem, but we must assume it is to find an answer.

Sum of the measures of the interior angles of a polygon with n sides:

180(n - 2)

For an octagon, n = 8, so we have

180(8 - 2) = 180 * 6 = 1080

For a regular octagon, all interior angles are congruent.

measure of 1 interior angle = 1080/8 = 135

Answer: 135 deg

Arcs measure: 68 deg, 134 deg

Add them: 68 deg + 134 deg = 202 deg

Subtract from 360 deg:

360 deg - 202 deg = 158 deg

The arc intercepted by angle 1 measures 158 deg.

The measure of an inscribed angle is half the measure of its intercepted arc.

m<1 = (1/2) * 158 = 79 deg