Two angles measure a-60 and 123-2a.if each one is opposite to equal sides of an isosceles triangle,then find the value of a
Which of the following statements are true (T) and which are false (F): (i) Sides opposite to equal angles of a triangle may be unequal. (ii) Angles opposite to equal sides of a triangle are equal. (iii) The measure of each angle of an equilateral triangle is 60°. (iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. (v) The bisectors of two equal angles of a triangle are equal. (vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. (vii) The two altitudes corresponding to two equal sides of a triangle need not be equal. (viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. (ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.