Angles by Greta VanLoon

Instructions

gretavanloon2 — 2023-01-31 01:34:09 UTC

To review, comment below what the angles in a triangle add up to.

Instructions

gretavanloon2 — 2023-01-31 01:35:25 UTC

In Geogebra, create a polygon with 4 sides (a quadrilateral). Click the Angle Measure tool and click the inside of your quadrilateral to measure the interior angles. Add up the angle measures. Then, take a screenshot of your quadrilateral and post it below along with the number you got from adding up the angles.

Instructions

gretavanloon2 — 2023-01-31 01:36:19 UTC

In Geogebra, create a polygon with 5 sides (a pentagon). Click the Angle Measure tool and click the inside of your pentagon to measure the interior angles. Add up the angle measures. Then, take a screenshot of your pentagon and post it below along with the number you got from adding up the angles.

Instructions

gretavanloon2 — 2023-01-31 01:37:37 UTC

In Geogebra, create a polygon with 6 sides (a hexagon). Click the Angle Measure tool and click the inside of your hexagon to measure the interior angles. Add up the angle measures. Then, take a screenshot of your hexagon and post it below along with the number you got from adding up the angles.

Instructions

gretavanloon2 — 2023-01-31 01:43:07 UTC

As shown in the picture above, create 2 lines in Geogebra and connect them with a point where they intersect. Then, measure each of the 4 angles created by the lines. What do you notice about angles which are across from each other (such as angle AED and angle BEC above)? Post your results below.

Instructions

gretavanloon2 — 2023-01-31 01:46:46 UTC

How many degrees are in a full circle? Post your answer below.

Instructions

gretavanloon2 — 2023-01-31 01:48:33 UTC

Complementary Angles are angles which add up to 90°. Post an example of complementary angles below.

Instructions

gretavanloon2 — 2023-01-31 01:49:08 UTC

Supplementary Angles are angles which add up to 180°. Post an example of supplementary angles below.

Instructions

gretavanloon2 — 2023-01-31 01:54:15 UTC

Using the information from the previous 4 sections, can you write a formula for the sum of the angles in a polygon with "n" sides? Post it below.

359.9

divitagrawal3_1 — 2023-01-31 04:27:03 UTC

Complementary angles

gretavanloon2 — 2023-01-31 04:27:22 UTC

45° and 45°

90.5˚+90.7˚+90.3˚+88.5˚= 360˚

kshitijshandilya2 — 2023-01-31 04:28:21 UTC

365˚

aaishikipaul2 — 2023-01-31 04:28:52 UTC

540

rohangupta5_2 — 2023-01-31 04:29:13 UTC

537.5

divitagrawal3_1 — 2023-01-31 04:29:53 UTC

540˚

aaishikipaul2 — 2023-01-31 04:30:31 UTC

88.6+ 93.3+ 1.4 + 86.7= 270°

smaranvasireddi2811_1 — 2023-01-31 04:30:55 UTC

310

rohangupta5_2 — 2023-01-31 04:30:58 UTC

virajgupta1_1 — 2023-01-31 04:31:26 UTC

373.21

kimayanegi1_1 — 2023-01-31 04:31:32 UTC

720˚

aaishikipaul2 — 2023-01-31 04:31:55 UTC

720

rohangupta5_2 — 2023-01-31 04:32:43 UTC

673.4

divitagrawal3_1 — 2023-01-31 04:33:55 UTC

443°

smaranvasireddi2811_1 — 2023-01-31 04:33:58 UTC

540˚

kshitijshandilya2 — 2023-01-31 04:34:06 UTC

359.9

aaravmoudgil2 — 2023-01-31 04:35:35 UTC

720˚

kshitijshandilya2 — 2023-01-31 04:35:51 UTC

637.3°

smaranvasireddi2811_1 — 2023-01-31 04:35:52 UTC

155.2 + 82.1 + 149.3 + 93.8 + 59.6 = 540

kimayanegi1_1 — 2023-01-31 04:36:07 UTC

THE ANGLES ACROSS EACH OTHER ARE THE SAME

virajgupta1_1 — 2023-01-31 04:38:38 UTC

rimjhimkumar1_1 — 2023-01-31 04:39:01 UTC

360

91.5 + 176.5 + 64.9 + 141 + 125.4 + 120.7 = 720

kimayanegi1_1 — 2023-01-31 04:39:21 UTC

gretavanloon2 — 2023-01-31 04:39:25 UTC

540.1

aaravmoudgil2 — 2023-01-31 04:40:15 UTC

virajgupta1_1 — 2023-01-31 04:40:53 UTC

virajgupta1_1 — 2023-01-31 04:44:00 UTC

719.9

aaravmoudgil2 — 2023-01-31 04:44:26 UTC

Proof that vertically opposite angles are equal.

kshitijshandilya2 — 2023-01-31 04:44:36 UTC

Suppose the point where the lines intersect is O.
So,
So,

kiaanluthra1_1 — 2023-01-31 04:44:36 UTC

360.1°

rimjhimkumar1_1 — 2023-01-31 04:44:47 UTC

540

rimjhimkumar1_1 — 2023-01-31 04:47:37 UTC

720

kiaanluthra1_1 — 2023-01-31 04:48:19 UTC

kiaanluthra1_1 — 2023-01-31 04:53:06 UTC

kiaanluthra1_1 — 2023-01-31 04:57:45 UTC