Question

Triangle angle sum theorem what is the value of s?

Answer 1

Sum of the interior angles of any triangles equalls to 180 degrees thus :

$36 + 4s + 2s = 180$

Collect like terms :

$6s + 36 = 180$

Subtract both sides 36

$6s + 36 - 36 = 180 - 36$

$6s = 144$

Divide both sides by 6

$\frac{6s}{6} = \frac{144}{6}$

$s = 24$

Answer 2

The triangle angle sum theorem states that the sum of all angles of triangle is equal to 180°. So, According to the theorem

$36 + 4s + 2s = 180$

Solve for s ~

$36 + 6s = 180$

$6s = 180 - 36$

$6s = 144$

$s = 24$

The value of s is 24°..

Now, With the help of this value we can find the value of all angles

• Angle 1 = 36°
• Angle 2 = 4s = 4×24 = 96°
• Angle 3 = 2s = 2×24 = 48°