The angle measure of a triangle are 2x + 5 degrees, 6x - 5 degrees, and 7x degrees. what is each angle measure

DAY 15: The measures of the angles in a certain triangle are in the ratio 1: 5: 6. Find the measure of the smallest angle.  

x +5x +6x=180  

12x =180  

x=15º  

DAY 16: In triangle ABC, the measure of angle A = 7x - 32, the measure of angle B = 3x + 4, and the exterior angle at C has measure 12 (x - 5). Find the value of x.  

exterior angle = sum of two remote (other) interiors  

7x -32 +3x+4 =12(x-5)  

10x -28 =12x -60  

32-2x  

x=16  

DAY 17: Find the slope of the line perpendicular to the line through the points (21, 11) and (-4, -12).  

11 - -12 / 21 - -4 =23/25  

slope of perpendicular line is negative reciprocal =  

-25/23 ( no 17!)  

DAY 18: In a certain triangle, the largest angle is 6 times the smallest. The third angle is 18 less than 4 times the smallest. What is the measure of the smallest angle?  

x= smallest  

6x =largest  

third angle =4x-18  

x+6x +4x-18 =180  

11x =198  

x=18º

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