Question

find the measures of the angles of a triangle if one angle is 50 and the remaining angles are in the ratio 2 : 3​

Answer 1

Answer:

∠1=50°, ∠2 =  65°, ∠3 =  65°

Step-by-step explanation:

We are given a triangle

∠1 = 50°

we are given that the other two angles are equal

Let the other two angles be x

Angle sum property of triangle: Sum of all angles of triangle is 180°

Using angle sum property :

∠1+∠2+∠3=180°

50+x+x=180

50+2x=180

2x=180-50

2x=130

x = 65°

Hence ∠1=50°, ∠2 =  65°, ∠3 =  65°

Answer 2

Step-by-step explanation:

Let the equal angles be x,x

Then by angle property:

⇒x+x+50

o

=180

o

⇒2x=130

o

⇒x=

2

130

o

⇒x=65

o

Angles are 65

o

,65

o