The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

Question

3 years ago

5

the measure of the first angle. The third angle is 10 more than the second.
ANSWER IS : X=30 Y=70=Z=80

1 answer:

mafiozo [28] · Answer 1 · 2022-06-29T12:26:33+03:00

a = 30°

b = 70°

c = 80°

Hi there !

a ; b ; c = angles

a + b + c = 180°

b + c = 5a

replace (b + c)

a + (b + c) = 180

a + 5a = 180

6a = 180

a = 30°

b + c = 180 - a

b + c = 150

c = b + 10

replace c

b + (b + 10) = 150

2b = 150 - 10

2b = 140

b = 70°

c = b + 10

c = 80°

Good luck !