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30 20 40 Angle Measure An acute triangle are 3 angles that are less than 90 degrees. Real Life example: 60 60 60 Angle Measure A Equiangular Triangle, has 3 congruent acute angles less than 90 Real Life example: degrees. 90 degrees The Right triangle is a triangle that has the angle of Real Life example: 90 degrees. 90 degrees Angle Measure An Obtuse Triangle is a triangle that it’s measures are over 90 degrees. Real Life example: Angle Measure We use this types of triangles to put them into categories of measurements, the triangles can be put into categories depending on the degrees that the triangles have. Triangle ADB CLASSIFY (example) Angle ADC is a right angle. Triangle ADC is a right triangle. A 40 D 40 70 B Triangle ABD Angle ABD & Angle DBC form a linear pair and they are supplementary. So m.Angle ABD + m.Angle BDC = 180. Substitute: m.Angle ABD + 70 =180 180 – 70 = 110, so m.Angle ABD = 110. The Triangle ABD is an Obtuse Triangle because the degree is over 90. 70 C CLASSIFY (example) 1. Obtuse Triangle 2. Right Triangle 3. Acute Triangle 4. Equiangular Triangle 130 An Equilateral Triangle is a triangle with 3 congruent sides. Side Lengths Real Life example: An Isosceles Triangle has 2 congruent sides instead of all of them being congruent. Side Lengths Real Life example: Side Lengths An Scalene Triangle is a triangle that has no congruent sides at all. Real Life example: CLASSIFY (example) D Triangle DEF 17 20 In the figure, DE is congruent DF. So DF = 20, And triangle DEF is Equilateral. E 20 Triangle DEG Using the Segment + P. we can see that EG = EF + FG. Substitute 20 + 5 = 25 Triangle DEG is Scalene because none of the sides are congruent. F 5 G CLASSIFY (example) 2x + 6.8 = 8x + 1.4 -8x -8x -6x + 6.8 = 1.4 -6.8 -6.8 -6x = -5.4 /-6 /-6 X = 0.9 2x + 6.8 8x + 1.4 2(0.9) + 6.8 = 8.6 8(0.9) + 1.4 = 8.6 CLASSIFY (example) 6y 2y = 4y + 12 -4y -4y 2y = 12 /2 /2 y=6 6(6) = 36 4(6) + 12 = 36 36 = 36 4y + 12