Question

The measures of one of the angles of a triangle is 35.The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures of the unknown angles

Answer 1

x=80 and y=65

Explanation:

Let one angle be x and the other be y

x+y=145 (1)

x-y=15 (2)

Adding both eqs

x+y+x-y=145+15

2x=160

x=160/2

x=80

Putting value of x in 1

80+y=145

y=145-80

y=65

Now

x+y+z=180 where z=35

80+65+35=180

180=180