Question

in a triangle exterior angle is 80 degree and interior opposite angles are in the ratio 5 is to 3 find the angles of triangle

Answer 1

5x+3x=80
8x=80
X=10
So 5x=10 multiple 5=50
And 8x=8 multiple 10=80
So in triangle angle sum property is 180
So 80+50+x=180
130+x=180
X=180-130=50
So all angles are 50,80,80

Hope it helps u

Answer 2

Answer:

Step-by-step explanation:

According to the attached diagram ::-

∠ABC + ∠BAC = ∠ACD .........ext. angle theorem

Ratio given - ∠ABC : ∠BAC = 5:3

Let common multiple be x

So, ∠ABC = 5x and ∠BAC = 3x

So, putting the given values,we get,

5x + 3x = 80

8x = 80

x = 80/8

x = 10

So, putting the value of x

∠ABC = 5x = 5 x 10 = 50°

∠BAC = 3x = 3 x 10 = 30°

HOPE IT HELPS YOU!!