Unit 7 Makeup Opportunity

What is the sum of the measures of the interior angles of an octagon?

Answer explanation

Use your formula for the sum of the interior angles of any polygons. (Lesson 1)

What is the measure of each interior angle of a regular 16-gon?

Answer explanation

Divide the sum of the interior angles of a 16-gon by the number of angles in that polygon.

What is the sum of the measures of the exterior angles of a decagon?

Answer explanation

The sum of the exterior angles in any polygon is always the same, regardless of how many sides the polgyon contains.

What is the measure of each exterior angle of a regular 30-gon?

Answer explanation

Divide the sum of the exterior angles by the number of angles in that polygon.

Find the measure of x.

Answer explanation

First find the measure of the interior angles, then you can solve for the missing angle.

If the figure below is a regular polygon, find the value of x.

Answer explanation

You can find the measure of each angle in a regular polygon by dividing the sum of the interior angles by the number of angles in the polygon. After that, you can use that number to solve for x.

Find KL.

Answer explanation

Remember that in any parallelogram, opposite sides are congruent.

Tags

CCSS.HSG.CO.C.11

Solve for x.

Answer explanation

Remember that in any parallelogram, consecutive angles are supplementary.

Tags

CCSS.HSG.CO.C.11

Given DB = 42, AD = 26, find the measure of AB.

Answer explanation

You need to use the Pythagorean Theorem.

Tags

CCSS.HSG.CO.C.11

Find the measure of ∠MJN.

Answer explanation

All four angles in a rectangle are right angles.

Tags

CCSS.HSG.CO.C.11