In the given figure, ACB is a straight line and CD is a line segment such that ∠ACD = (3x – 5)° and ∠BCD = (2x + 10)°. Then, x = ?


A. 25

B. 30

C. 35

D. 40

The complement of 72°40’ is

What value of y would make AOB a line in Fig. 8.43, if ∠AOC= 4y and ∠BOC =(6y+30)

Fill in the blanks so as to make the following statements true:

(i) If one angle of a linear pair is acute, then its other angle will be ………..

(ii) A ray stands on a line, then the sum of the two adjacent angles so formed is …………

(iii) If the sum of two adjacent angles is 180°, then the ………….arms of the two angles are opposites rays.

In Fig. 8.122, AOB is a straight line. If ∠AOC +∠BOD = 85°, then ∠COD =

In Fig. 8.123, the value of y is

In Fig. 8.129, PQ++RS, ∠AEF =95°, ∠BHS =110° and ∠ABC =x°. Then the value of x is,

Two lines AB and CD intersect at O. If ∠AOC +∠COB +∠BOD = 270°, then ∠AOC =

In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If ∠EGB = 35° and QP ⊥ EF, find the measure of ∠PQH.

The measure of an angle is five times its complement. The angle measures

In Fig. 8.39, POS is a line, find x.