Question

A triangle has an angel of 25 degrees. The other two angles are in a ratio of 15:16. What are the measures of those two angles?

Answer 1

All triangle angles sum to 180 degrees.

A) 25 + x + y = 180 which equals
A) x + y = 155
B) 15x = 16y
B) x = 16y / 15
Then substituting this into A)
A) (16y / 15) + y = 155
Multiplying both sides by 15
A) 16y + 15y = 2,325
A) 31y = 2,325
y = 75

Putting this into equation A)
A) 25 + x + y = 180
A) 25 + x + 75 = 180
A) 100 + x = 180
A) x = 80