Question

What is the value of w?
W-26°
W+35°
w-45°

Answer 1

Rule the exterior angle of a triangle is the sum of the two interior opposites .

Explanation:

w + 35 = w - 26 + w - 45

take all the different values across but don forget signs change

w - w + w = -26-45-35

simplify both sides

-1w=-106

divide by negative 1 on both sides

w = 106 degrees

Answer 2

106°

Given :

• Two interior angles and one exterior angle

To find :

• The value of W

Solution :

We know that,

• The sum of two interior angles = Value of exterior angle
• W -26° + W - 45° = W + 35°
• 2W - 71° = W + 35°
• 2W - W = 71° + 35°
• W = 106°

Therefore,the value of W is 106°

and the values of angles :

• W + 35° = 106° + 35° =141°
• W - 26° = 106° - 26° = 80°
• W - 45° = 106° - 45° = 61°