71. In a triangle ABC, ∠A = 90°, ∠C = 55°, $${AD}$$ ⊥ $${BC}$$. What is the value of ∠BAD ?
72. Angle between the internal bisectors of two angles of a triangle ∠B and ∠C is 120°, then ∠A is :
73. G is the centroid of the equilateral ΔABC. If AB = 10 cm then length of AG is ?
74. ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. A circle with center O has been inscribed inside ΔABC. The radius of the circle is
75. A point D is taken on the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then
76. ABC is an equilateral triangle and CD is the internal bisector of ∠C. If DC is produced to E such that AC = CE, then ∠CAE is equal to
77. If each angle of a triangle is less than the sum of the other two, then the triangle is
78. In ΔABC and ΔDEF, AB = DE and BC = EF, then one can infer that ΔABC ≅ ΔDEF, when
79. In triangle ABC, ∠BAC = 75°, ∠ABC = 45°, $$\overline {BC} $$ is produced to D. If ∠ACD = x°, then $$\frac{x}{3}$$% of 60° is
80. The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the smallest angle is :
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