Question

of the three angles of a triangle,the second is one -third of the first and the third is 26° more than the first .what are the measures of these angles.​

Answer 1

Answer:

The angles of the triangle are 66°,22° and 92°

Step-by-step explanation:

Let the first angle be x

So,the second angle,x1=1/3x

So,the third angle,x2=x+26°

The suk of all angles of a triangle is 180°

So,x+x1+x2=180°

x+1/3x+x+26°=180°

2x+1/3x+26°=180°

6x+x+78/3=180° (Taking LCM)

7x+78/3=180°

7x+78=540

7x=462

x=66°

x1=1/3x=1/3*66=22°

x2=x+26°=66+26=92°