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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step-by-step explanation:

this is a very good question

step-by-step explanation:

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(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

step-by-step explanation:

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