Answer:
The measures of the angles of the triangle are 96° , 36° and 48°.
Step-by-step explanation:
The ratios of the angles of a triangle = 8 : 3 : 4
Let x be the common factor in the ratio.
⇒The angles of the triangle is 8 x, 3 x and 4 x.
Now, By ANGLE SUM PROPERTY of a triangle:
Sum of all interior angles of a any given triangle is always 180°.
So, here 8x + 3x+ 4x = 180°
or, 15x = 180°
or, x = 180° / 15 = 12
⇒ x = 12
So, the first angle of the triangle = 8x = 8 x 12 = 96°
Second angle of the triangle = 3x = 3 x 12 = 36°
Third angle of the triangle = 4x = 4 x 12 = 48°
