![]() While supplementary angles add up to 180 °, complementary angles add up to 90°. Supplementary and complementary angles are those angles that exist in pairs. Non-adjacent supplementary angles, when put together, form a straight angle. Hence, these two angles are non-adjacent supplementary angles. They also add up to 180 degrees, that is, ∠ABC+ ∠PQR = 79 ° + 101 ° = 180 °. Here, ∠ABC and ∠PQR are non-adjacent angles as they neither have a common vertex nor a common arm. Two supplementary angles that are NOT adjacent are said to be non-adjacent supplementary angles. Hence, these two angles are adjacent supplementary angles. They also add up to 180 degrees, that is, ∠COB + ∠ AOB = 70 ° + 110 ° = 180 °. Here, ∠COB and ∠AOB are adjacent angles as they have a common vertex, O, and a common arm OB. Two supplementary angles with a common vertex and a common arm are said to be adjacent supplementary angles. Each of these types of supplementary angles is explained below. ![]() So, there are two types of supplementary angles. Supplementary angles can either be adjacent or non-adjacent. Ensure that students have at least 3 boxes in their FotoToon Activity that correctly show each step and the thinking involved.Adjacent and Non-Adjacent Supplementary Angles When students finish, have them reflect in their Journal how thinking through each step and showing all work helps them solve real world math problems. Students can share with the class or share with a partner to ensure that their work is correct. Encourage them to be creative by adding pictures of themselves to give further mathematical explanation. Students can use as many boxes in FotoToon as they need to show their work and explain their thinking. Then students insert this in to FotoToon and add a thought bubble that explains where their equation came from. Next, students will show the math equation needed to solve the problem by creating a picture in Paint Activity or by taking a picture of their handwritten work with Record Activity. Then students add a thought bubble to explain the math in their picture. Students should insert this picture into FotoToon. The next box should be a drawing of the problem – students may choose to draw it by hand and use Record Activity to take a picture, or use Paint Activity to draw their picture (be sure to name it accoringly). thinking pose, idea pose, etc) Students will insert this picture into FotoToon and add a box with their own real life word problem in it. In Record Activity students will take a picture of themselves and name it– encourage them to be creative (i.e. – if students have trouble, they can look in their book or look online for assistance. Students will create their own real life math problem. ![]() clock angles, amusement park rides, etc). Now tell students to think about a real life situation with turns or angles (i.e. Go through the problem step by step showing your thinking to students by using pictures and equations. What is the total degree of the water sprinkler rotation? To make a full circle (360 degrees) how many times will the water sprinkler need to be moved? It then rotates an additional 25 degrees. Review complementary angles, supplementary angles, and how to find a missing angle.Įxample: A lawn water sprinkler rotates 65 degrees and then pauses. *note: this lesson could be adapted with any math principle Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. 4.MD.7 – Recognize angle measure as additive.
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