Question

Out of three angles of a triangle the second angle is 45 degree more than the smallest angle the third angle is three times the smallest angle find all the angles of the triangle

Answer 1

Answer: 27, 72, 81 degrees

Step-by-step explanation:

Let m be the smallest angle. Then the other two angles are m+45 and 3m

Since these three angles are the angles of a triangle, their sum is 180

So

m+m+45+3m=180

5m+45=180

5m=135

m=27

So the angles are 27, 72 and 81

Answer 2

Answer:

27degree,72degree and 81degree

Step-by-step explanation:

Let the smallest angle be y

Smallest angle=y

Second angle=45+y

Third angle=3y

According to angle sum property

(45+y)+y+3y=180

45+5y=180

5y=180-45=135

y=135/5=27

So,

Smallest angle is 27 degree

2nd angle is 45+27=72 degree

3rd angle is 3*27=81 degree

Therefore angles are 27degree,72degree and 81degree