Question

One angle of a triangle measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answer 1

Ratio of 2 angles = 2:5

1 angle = 110°

2 angle = 2x

3 angle = 5x

110 + 2x + 5x = 180 [Angle Sum Property]

7x = 180 - 110

7x = 70

x = 70/7 = 10°

Other 2 angles =

2x = 2×10 = 20°

5x = 5×10 = 50°

Hope it helps.

Answer 2

Answer:

Firstly added the equation 2x+5x+110=180

Step-by-step explanation:

7x+110=180

7x=180-110

7x=70

x=10

then 1st angle =10×2=20

2nd angle=10×5=50