Download Common Core Geometry Honors Intro To Geometry – Day 4

Name:
Common Core Geometry Honors
Date:
Intro To Geometry – Day 4 - CW/HW
1.) What is the sum, in degrees, of the measures of the interior angles of a stop sign, which is in
the shape of an octagon?
(1) 360
(3) 1,440
(2) 1,080
(4) 1,880
2.) What is the sum, in degrees, of the measures of the interior angles of a pentagon?
3.) The accompanying figure represents a section of bathroom floor tiles shaped like regular
hexagons.
What is the measure of angle ABC?
(1) 60°
(3) 120°
(2) 90°
(4) 150°
4) In equilateral triangle ABC, B  5x  20 . Find mB.
5) If the measures of two complementary angles are in the ratio of 1:5, find the measures of
both angles.
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6) AB and CD intersect at E. If the measure of
CEB  (7 x  65) , determine the measures of
AED  (5x  25) and the measure of
BED .
8) What is the measure of the largest angle of the triangle below:
9) Find the number of degrees in the value of x in the following triangle.
10) Triangle ABC is an isosceles triangle. Angle A is the vertex angle, and angle B and angle C
are the base angles. If angle A is 20 degrees less than 3 times the measure of angle B, find the
measure of all three angles of the triangle. Show ALL work!!!
11) What is the sum of the angles, in degrees, of the exterior angles of a regular decagon?
(1) 36
(3) 1440
(2) 360
(4) 180
12) Melissa is walking around the outside of a building that is in the shape of a regular polygon.
She determines that the measure of one exterior angle of the building is 30°. How many sides
does the building have?
(1) 6
(3) 3
(2) 9
(4) 12
13.) What is the number of sides of a regular polygon whose interior angles each measure 120 ?
a) 6
b) 8
c) 4
d) 5
14.) Find mA :
15.) A STOP sign is a regular octagon. What is the measure of an interior angle?
16.) The sum of the measures of the interior angles of a polygon is 1440°. How many sides does
the polygon have?
17.) If the sum of the interior angles of a regular polygon is 720°, what is the measure of one
exterior angle?
18) Find a and b
19) Find b
21) Find e
20) Find c and d
22) Find f
23) Find g
24.
= ___________
25)
= ___________
Challenging
Find the unknown (labeled) angle in each figure. Justify your calculations.
1.
= ___________
2.
= ___________
3.
= ___________