"All About Angles"

Classifying Angles

100

Obtuse Angle!

What Angles measure is greater than~ 90 and less than ~180?

200

An Acute Angle!

Which Angles Measure is less than 90 ?

300

Right angle!

Which angles measure is equal to 90?

400

Straight Angle!

Which Angles measure is equal to 180?

500

1.Bottom corner of a cabinet 2.A computer screen corner 3.The front door to your house.

What 3 common real world examples of right angles can you list?

Angles and Sides of a Triangle

100

FORMULA: (n-2)180=sum of the interior angles. Where n=number of angles of a regular polygon. We know that the sum of the interior angles is 2340 so (n-2)180=2340 divide both sides by 180 and get n-2=13 add 2 to both sides and get n=15 Therefore, this polygon has 15 sides.

If the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?

200

The sum of the interior angles is (n-2)180 = 2340 n-2 = 13 n = 15 (number of sides)

The sum of the measures of the interior angles of a regular polygon is 2340 degrees. How many sides does the polygon have?

300

That makes the exterior angles 45 deg (180 - 135) 360/45 = 8 sides ----------------- The sum of exterior angles for ALL polygons is 360º

Each interior angle of a regular polygon measures 135°. How many sides does the polygon have?

400

Exterior angles = 180 - 156 = 24 degs 360/24 = 15 sides

Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have?

500

Sum = (n-2)180 1620 = (n-2)180 n-2 = 9 n = 11 sides

The sum of the interior angle measures of a convex polygon is 1620 degrees How many sides does it have?

Complementary? or Supplementary?

100

An angle's measure is 18° more than 3 times its complement. Let x represent the angle and (90° - x) represent its complement x = 3(90°-x) + 18° Solving for x 4x = 288° x = 72°, the angle, its complement is 18°

An angle's measure is 18 more than 3 times its complement. Find the measure of the angle.

200

x + x+ 17 = 90. 2x = 73 x = 36.5. This is the first angle. 36.5 + 17 = 53.5.

The measure of an angle's complement is 17 more than the measure of the angle. Find the measure of the angle and its complement.

300

An angle is 12 degrees more than its complement. Find the measure of the complement. ------ Angle: x Complement: 90-x --------------------- Equation: x = 90-x+12 2x = 102 x = 51 degrees 90-x = 39 degrees

An angle is 12 degrees more than its complement. Find the measure of the complement.

400

Let x and (90°-x)represent the meausre of the angle and its complement respectively Question states*** x = (90°-x) + 70° 2x = 160° x = 80°

Find the measure of an angle whose measure is 70 degrees more than its complement

500

let angle be x complement = 90-x x=(90-x)+28 x=90-x+28 add x to both sides x+x=90-28 2x=62 x= 62/2 x=31 deg

The measure of an angle is 28 degrees more than its complement. Find the measure of each angle.