Page 234 - Start Up Mathematics_8 (Non CCE)

7. In the given figure, find the measure of –UMP.

8. The bisectors of –A and –B meet at point P. If –C = 105º and K C
–K = 55º, find the measure of –APB. 55° 105°

P

A B
9. In a quadrilateral ABCD, AO and BO are the bisectors of –A and
1 P Q E
–B respectively. Prove that –AOB = (–C + –D). x
2
S
10. Find the angles x, y, z in the given figure.
y 40°
z
K R
D C

G F
11. In the given figure, ABCD and AEFG are parallelograms. If
–C = 55º, what is the measure of –F?
A E B

Thinking Skills

1. The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the
number of sides of the polygon.
2. Find the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
3. Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measure
of their interior angles is 3 : 4. Find number of sides of each polygon.
4. Hariti walked diagonally across a park. Yukti walked along the length and breadth of the park. The park
is 30 metres wide and 40 metres long. How much more did Yukti walk than Hariti?

Some NCERT Textbook Questions

1. Given here are some figures.

(1) (2) (3) (4)

(5) (6) (7) (8)
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