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The Angles Of A Triangle Are In The Ratio 2:3:7. Find The Measure Of The Largest Angle.
The angles of a triangle are in the ratio 2:3:7. find the measure of the largest angle. Answer: 105 degrees Step-by-step explanation: the ratio are 2n:3n:7n (im just adding n to represent what is needed to be multiplied since this is a ration) knowing that the sum of the angles of a triangle is 180, we set an equation 2n+3n+7n=180 simplified, we have 12n=180 divide both sides by 12 so that tbe n would be simplified 12n/12=180/12 simplified: n=15 so we multiply it to the largest ratio to get the largest angle (15)(7)=105 degrees if you want to check, multiply the n to all the ratios and you will see that the sum will be 180 (7)(15)=105 (3)(15)=45 (2)(15)=30 105+45+30=180 180=180
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