SOLUTION: PQRSTU is a regular hexagon. Determine each angle of triangle PQT.

Question 1040520: PQRSTU is a regular hexagon. Determine each angle of triangle PQT.
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!
I have attached a photo. Hope you can open it. The triangle is a right triangle with angle qpt being 90
The angle pqt 60 and angle ptq 30
To solve this problem draw the shape. Each angle of hexagon is 120. In triangle TUP we know U is 120. Therefore the small angles of T and P each is 30 since 120+30+30 =180
If small P is 30 and the whole P is 120 therefore the angle TPq should be right angle which is 120-30 = 90
Now look at the trapezoid
Rsqt. This is 360 degrees. If s and r are 120 each then the angle stq Should be 60. The same as angle rqt. If rqt is 60 and the whole q is 120 then the angle tqp should be 120-60=60
Then the angle qtp should be 30 since the triangle is right angle and one of the angles is 60 then the other one is supposed to be 30
RELATED QUESTIONS
In a regular hexagon PQRSTU, vertices P and R are (0,0) and (7,1). Now find the area of... (answered by Alan3354)

A regular hexagon has a perimeter of 54cm. What is the measurement of each... (answered by josmiceli)

what is the measure, in degrees of each angle of a regular... (answered by stanbon)

to the nearest degree, what is the measure of each exterior angle of a regular... (answered by Alan3354)

To the nearest degree, what is the measure of each exterior angle of a regular hexagon? (answered by richard1234)

start with an equilateral triangle ABC of a side of 2 units and construct three... (answered by KMST)

Given that the exterior angle of a regular hexagon is x,find the size of each interior... (answered by Theo)

The regular hexagon ABCDEF has sides of length 2. The point P is the midpoint of AB. Q is (answered by ikleyn,Theo)

Given that the sum of the measure of the interior nobles of a hexagon is 720, find the... (answered by Alan3354)