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