Prove the following extension of Moreley's theorem.
Consider ∆ABC.
Let adjacent trisectors of external angles B and C meet at P.
Let adjacent trisectors of external angles C and A meet at Q.
Let adjacent trisectors of external angles A and B meet at R.
Prove that ∆PQR is equilateral.
In ∆ABC, A = 20, B = 80, C = 80. D lies on AC such that angle DBC = 70. E lies on AB such that ECB = 50. Using Trigonometric Version of Ceva's Theorem deduce that angle BDE = 10. All measures are in degree.
suppose you have been to measure the height of the local water tower.Climbing makes you dizzy, so you decide to do the whole job level. From a point 47.3 meters from the base of the tower, you find that you must look up at an angle of 53 degrees to see the tower. How tall is the tower? draw the angle
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