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RD Chapter 10 Congruent Triangles Ex VSAQS Solutions

Question - 1 : - Define complementary - angles.

Answer - 1 : - Two angles whose sum is 90°, are called complementary angles.

Question - 2 : - Define supplementary- angles.

Answer - 2 : - Two angles whose sum is 180°, are called supplementary angles.

Question - 3 : - Define adjacent - angles.

Answer - 3 : - Two angles which have common vertex and one arm common are called adjacent angles.

Question - 4 : - The complement of an acute angles is…….

Answer - 4 : - The complement of an acute angles is an acute angle.

Question - 5 : - The supplement of an acute angles is………

Answer - 5 : - The supplement of an acute angles is a obtuse angle.

Question - 6 : - The supplement of a right angle is…….

Answer - 6 : - The supplement of a right angle is a right angle.

Question - 7 : - Write the complement of an angle of measure x°.

Answer - 7 : - The complement of x° is (90° – x)°

Question - 8 : - Write the supplement of an angle of measure 2y°.

Answer - 8 : - The supplement of 2y° is (180° – 2y)°

Question - 9 : - If a wheel has six spokes equally spaced, then find the measure of the angle between two adjacent spokes.

Answer - 9 : -

Total measure of angle around a point = 360°
Number of spokes = 6
∴ Angle between the two adjacent spokes =  = 60°

Question - 10 : - An angle is equal to its supplement. Determine its measure.

Answer - 10 : -

Let required angle = x°
Then its supplement angle = 180° – x
x = 180° – x
⇒ x + x = 180°
⇒  2x = 180° ⇒  x =  = 90°
∴ Required angle = 90°

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