1) Express the following decimals in the form p/q.

a) 0.00352 (bar on 2)

b) 15.712 ( bar on 12)

2) If an angle is 30 degrees more than one half of its complement , find the measure of the angle.

3) If the complement of an angle is equal to the supplement of theice of it. Find the measure of the angle.

4) If the supplement of an angle is three times its complement , find the angle.

5) It is given that angle XYZ = 64 degrees and XY is produced to a point P. Draw a figure from the given information. If ray YQ bisects angle ZYP , find angle XYQ and reflex angle QYP.

6) In a fig. rays OA , OB , OC , OD and OE have the common end point O.Show that angle AOB + angle BOC + angle COD + angle DOE + angle EOA = 360 degrees.

7) In a fig. a is greater than b by one third of a right angle. Find the values of a and b.

(2)

Let the angle be x.
∴ Complement of the angle = 90° – x

 

Thus, the required angle is 50°.

 

(4)

Let the angle be x.
Supplement of the angle = 180° – x
Complement of the angle = 90° – x
Given, supplement of the angle = 3 × complement of the angle

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