Question
In figure, find the value of x.

Answer

$\angle\text{AOE}=\angle\text{BOF}=5\text{x}$ [vertically opposite angle]
$\angle\text{COA}+\angle\text{AOE}+\angle\text{EOD}=180^\circ$ [linear pair]
⇒ 3x + 5x + 2x = 180°
⇒ 10x = 180°
⇒ x = 18°

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Diagonal AC of a parallelogram ABCD bisects $\angle$A (See figure). Show that:
  1. It bisects $\angle$C also.
  2. ABCD is a rhombus.
Express the following in the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$:
$0.\overline{001}$
Define a triangle.
In figure, POS is a line, Find x.

Examine whether the following number are rational or irrational:
$\frac{2\sqrt{13}}{3\sqrt{52}-4\sqrt{117}}$
Read the Source/ Text given below and answer the questions:
Veena planned to make a jewellery box to gift her friend Reeta on her marriage. She made the jewellery box of wood in the shape of a cuboid. The jewellery box has the dimensions as shown in the figure below. The rate of painting the exterior of the box is Rs. 2 per cm2. After making the box she took help from his friends to decorate the box. The blue colour was painted by Deepak, Black by Suresh, green by Harsh and the yellow was painted by Naresh.

1. What is the volume of the box?
2. How much area did Suresh paint?
Factorise:
$\text{x}^2+\frac{1}{\text{x}^2}-2-3\text{x}+\frac{3}{\text{x}}$
Read the following two statements which are taken as axioms:
  1. If two lines intersect each other, then the vertically opposite angles are not equal.
  2. If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.
Is this system of axioms consistent? Justify your answer.
The pillars of a temple are cylindrically shaped. Each pillar has a circular base of radius 20cm and height 10m. How much concreate mixture would be required to build 14 such pillars?
Check the following are solutions of the equation 2x - y = 6 and which are not:
(2, -2)