asked 107k views
3 votes
What is the value of w?

40


75


100


52.5

What is the value of w? 40 75 100 52.5-example-1
asked
User Kshama
by
8.3k points

2 Answers

1 vote
continue the lines outside of the circle. (ignoring the circle) label the degree of each angle outside of the circle.
FYI straight lines is equal to 180 degree.
answered
User Mnemosyn
by
7.7k points
5 votes

Answer:

Third option.

w = 100 °

Explanation:

The interior angles of a quadrilateral (4-sided polygon) add up to 360 °.

Let's call the 4 sides: upper, lower, left and right.

The left side has an inclination of 5 ° less with respect to the right side. That means that the angle between the left side and the bottom side, called x, is 5 ° less than 80 °, so x = 75 ° (80 ° - 5 °)

Knowing three of the four angles of the quadrilateral, we can calculate w which is the missing angle.

w + x + 80 ° + 105 ° = 360 °

Isolating w, we have

w = 360 ° - x - 80 ° - 105 °, where x = 75 °, then

w = 360 - 75 ° - 80 ° - 105 °

w = 100 °

answered
User Tim Pote
by
7.9k points

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