Question

If the degree measures of the angles of a triangle are in the ratio 3 : 3 : 4, what is the degree measure of the largest angle of the triangle? (Sum of all three angles is 180)

Answer 1

Answer:72 degrees

Explanation:

3:3:4 is the ratio of the angles of a triangle and we have been asked the degree measure of the largest angle.

First of all...add the three ratios

3+3+4=10

;Ratio 10=180 degrees(the sum of all the angles;ratios add up to the sum of all three angles)

10=180 how about ratio 3?

Cross multiply...3 times 180 over 10= 54 degrees

Both angles with ratio 3 are 54 degrees

180-108=72

The angle with ratio 4 has 72 degrees which makes it the largest angle

Answer 2

x=3k

y=3k

z=4k

x+y+z=180

3k+3k+4k=180

10k=180

k=180/10

k= 18

z=4*18

z=72

answer: 72