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22 July, 17:56

1. The sides of AB and AC of a triangle ABC are produced to D and E respectively such that DBC=125° and BCE=95°, find the value of BAC.

2. In a triangle ABC, BAC = 48° and ABC=100°, calculate the acute angle between the internal bisectors of ABC and BCA.

3. The angles of a quadrilateral are 4x, x+10, 9x-30 and 3x+20. The value of x is ...

4. Each of the exterior angle of a regular polygon is 24°. How many sides has the polygon?

5. Each interior angle of an eight-sided polygon is equal to ...

6. The interior angles of a pentagon are 130°, 118°, 80°, 78° and x. Find the value of x

7. The ratio of the interior angle to to the exterior angle in a regular polygon is 1.4, what is the number of sides

8. The two adjacent angles on a straight line are (x-60) 0 and (y+30). The value of x+y is

9. Calculate the sum of angles in a regular decagon

10. When two straight lines cross each other, which angle is formed

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Answers (1)
  1. 22 July, 20:59
    0
    4. Let the number of sides be n

    As we know that sum of exterior angles of a regular polygon = 360°

    Number of sides = Sum of exterior angles/Each interior angle

    = 360°/24°

    = 15

    Hence, the regular polygon has 15 sides

    10. Non-Perpendicular Intersecting Lines

    When two lines intersect, they create vertical angles, sometimes called opposite angles, that are congruent.
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Home » Mathematics » 1. The sides of AB and AC of a triangle ABC are produced to D and E respectively such that DBC=125° and BCE=95°, find the value of BAC. 2.
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