Mathematics
Grade9
Easy

Question

What is the measure of angle SKT?

  1. 12°
  2. 106°
  3. 37°
  4. 78°

The correct answer is: 106°


    In a rectangle, the diagonals bisect each other.
    So, in  increment S K T comma S K equals K T
    We know angles opposite to equal sides are equal.
    Hence, angle T S K equals angle K T S
    angle T S K plus angle S K T plus angle K T S equals 180 degree
37 degree plus angle S K T plus 37 degree equals 180 degree
angle S K T space equals space 180 to the power of o minus 74 to the power of o
angle S K T equals 106 degree space a n s w e r

    properties of rectangle
    opposite sides are parallel and equal to each other.
    Each interior angle is equal to 90 degrees.
    The sum of all the interior angles is equal to 360 degrees.
    diagonals bisect each other.
    Both the diagonals have the same length.

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