In Figure, if EC || AB, = 70^ and = 20^ , then is: - Vidyadip

MCQ

In Figure, if $\text{EC}\ ||\text{ AB}, \angle\text{ECD} = 70^\circ$ and $\angle\text{BDO} = 20^\circ,$ then $\angle\text{OBD}$ is:

A
60°
B
70°
C
20°
D
50°

✓

Answer

50°
Solution:
$\text{EC}\ ||\text{ AB}$ and CD is transverse to it.
Now $\angle\text{ECD} = \angle\text{AOD} = 70^\circ$ (Corresponding angles)
In $\angle\text{OBD}$
$\angle\text{OBD} + \angle\text{BOD} + \angle\text{ODB} = 180^\circ$
$\angle\text{BOD} = 180^\circ - \angle\text{AOD} = 180^\circ - 70^\circ = 110^\circ$
$\angle\text{ODB} = 20^\circ$ (Given)
So, $\angle\text{OBD} = 180^\circ - \angle\text{BOD} - \angle\text{ODB}$
$= 180^\circ - 110^\circ - 20^\circ$
$= 50^\circ$

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

Explore more

More "M.C.Q" from Triangles→Triangles — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

If a + b + c = 0 then $\Big(\frac{\text{a}^2}{\text{bc}}+\frac{\text{b}^2}{\text{ca}}+\frac{\text{c}^2}{\text{ab}}\Big)=?$

If 10x - 4x² - 3, then the value of p(0) + p(1) is:

An exterior angle of a triangle is $80^\circ$ and two interior opposite angles are equal. Measure of each of these angles is:

The value of (x^a-b)^a+b × (x^b-c)^b+c × (x^c-a)^c+a is:

Is || gm ABCD a square?

Diagonals of || gm ABCD are equal.
Diagonals of || gm ABCD intersect at right angles.

If the question can be answered by one of the given statements alone and not by the other;
If the question can be answered by either statement alone;
If the question can be answered by both the statements together but not by any one of the two;
If the question cannot be answered by using both the statements together.

$\sqrt{2}$ is a polynomial of degree.

Write the correct answer in the following:
The three steps from solids to points are:

Solids - surfaces - lines - points.
Solids - lines - surfaces - points.
Lines - points - surfaces - solids.
Lines - surfaces - points - solids.

The point on the graph of the linear equation $2 x+5 y=19$, whose ordinate is $1 \frac{1}{2}$ times its abscissa, is

A coin is tosses 1000 times, if the probability of getting a tail is $\frac{3}{8},$ how many times head is obtained?

525
375
625
725

In the following, write the correct answer.
In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ if AB = AC, $\angle\text{C}=\angle\text{P}$ and $\angle\text{B}=\angle\text{Q}$ then the two triangles are:

Isosceles but not congruent.
Isosceles and congruent.
Congruent abut not isosceles.
Neither congruent nor isosceles.