Question

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

Answer 1

• Answer:

a = 30°

b = 70°

c = 80°

• Step-by-step explanation:

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 !