Hi ,
Thank you for the opportunity to help you with your question!

The triangle is equilateral (all lengths are the same) therefore the sum of all three angles would equal to 180 degree. Theta 1 would equal to (180/3)=60

In the second part of the problem it's good to assume the shape as a piece if a circle. Which has a radius =1.

The circumference of the circle is 2*22/7*1 = 6.29

Circles have a 360 degree angle and here this circle have a circumference of 6.29. The length of 1 from the circle will be = (360/6.29)*1= 57.3 degree

Thete 2 =57.3

Please let me know if you need any clarification. I'm always happy to answer your questions.

Oct 6th, 2015

Dear Beruc1,

Hope you received the answer. I am very pleased to reply If you have any other questions.

Thank you. The question it was asking me was to Find θ_{1},θ_{2}, and θ_{1} − θ_{2}.

Oct 6th, 2015

this is the full question. "Two wood sticks and a metal rod, each of length 1, are connected to form a triangle with angle θ_{1} at the point P, as shown in the first figure below. The rod is then bent to form an arc of a circle with center P, resulting in a smaller angle θ_{2} at the point P, as shown in the second figure. Find θ_{1}, θ_{2}, and θ_{1} − θ_{2}.

θ1 is one angle of the equilateral triangle so it's 60 _{Needs to be solved assuming a circle and θ2 will be 57.3 and now you can substract each other}