Question

Triangle angle sum theorem What’s the value of w?

Answer 1

The angle sum property of triangle states that the sum of all angles of a triangle should be equal to 180°...

According to this theorem,

$\sf56 + 13w + 18w = 180$

$\sf \: 56 + 31w = 180$

$\sf \: 31w = 180 - 56$

$\sf \: 31w = 124$

$\sf \: w = 4$

The value of w is 4...

Now, Let's find the value of all angles with the help of value of w

• Angle 1 = 56°
• Angle 2 = 13w = 13×4 = 52°
• Angle 3 = 18w = 18×4 = 72°

Answer 2

Answer:

w = 4

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

13w + 18w + 56 = 180

31w + 56 = 180 ( subtract 56 from both sides )

31w = 124 ( divide both sides by 31 )

w = 4