Mathematics
Grade9
Easy

Question

What is the measure of the angle D?

  1. 36°
  2. 58°
  3. 62°
  4. 74°

hintHint:

Polygon is a two- dimensional closed figure which is made up of three or more line segments. Each polygon has its own properties based on the number of sides. Here, we have to find the measure of the angle D in the given polygon.

The correct answer is: 74°


    In the question there is a polygon ABCD with angle A equals 72 to the power of degree comma space angle B equals 126 to the power of degree space a n d space angle C equals 88 to the power of degree.
    Here, we have to find the value of angle D.
    text As we know that, the sum of angles of a polygon is  end text 360 degree.
S o comma space
angle D equals 360 degree minus left parenthesis angle A plus angle B plus angle C right parenthesis
angle D equals 360 degree minus open parentheses 72 degree plus 126 degree plus 88 degree close parentheses
angle D equals 78 degree
    Thus, the value of angle D is 78 to the power of degree.
    Therefore, the correct option is d, i.e., 78 to the power of degree.

    Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is 180 degree.

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