Consider the following system of nonlinear equations (assume 0< θ1, θ2 <90)

Cos(θ1)+ 2Cos(θ2)= 1.2975
Sin(θ1)+ 2Sn(θ2)=2.2429

a. Solve for θ1 and θ2 by hand (Using the trigonometric identity sin^2(θ) + Cos^2(θ)=1)
b. Solve for θ1 and θ2 using MATLAB.

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

If you answer 2+2 you will get over 80 points