Question

Consider the figure. Determine the value of w.​

Answer 1

w=67°

Explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

Answer 2

• 43°

Explanation:

We observe on the picture that:

• (12x + 11)° and 47° are vertical angles and vertical angles are equal as per definition
• Angle w° is complementary angle with (12x + 11)° and complementary angles add to 90° as per definition

Therefore

• w = 90°- (12x + 11)°
• w = 90° - 47°
• w = 43°