Question
In the given figure, $\text{AB}||\text{CD},\angle\text{ABO}=60^\circ$ and $\angle\text{CDO}=40^\circ.$ Then, find $\angle\text{BOD}.$ 
✓
Answer
$\angle\text{ABO}=60^\circ$$\angle\text{CDO}=40^\circ$
$\angle\text{ABO}=\angle\text{BOC}=60^\circ$ [alternate angles]
$\angle\text{CDO}=\angle\text{DOC}=40^\circ$ [alternate angles]
$\angle\text{BOD}=\angle\text{BOC}+\angle\text{DOC}$
$=60^\circ+40^\circ=100^\circ$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
→
Find the median of first $50$ whole numbers.
→The mean weight of $8$ numbers is $15\ kg$. If each number is multiplied by $2$, what will be the new mean?
→In Fig. line n is a transversal to lines 1 and m. Identify the following:
Angle alternate to $\angle P Q R$, angle corresponding to $\angle R Q F$ and angle alternate to $\angle P Q E$ in Fig.
→Angle alternate to $\angle P Q R$, angle corresponding to $\angle R Q F$ and angle alternate to $\angle P Q E$ in Fig.
Evaluate: $\frac{7}{11}-\frac{-4}{-11}$
→Rahul bought a sweater and saved $₹200$ when a discount of $25\%$ was given. What was the price of the sweater before the discount?
→State the property that is used in each of the following statements.
(i) If $a \| b$, then $\angle 1=\angle 5$.
(ii) If $\angle 4=\angle 6$, then $a \| b$.
(iii) If $\angle 4+\angle 5=180^{\circ}$, then $a \| b$.
→(i) If $a \| b$, then $\angle 1=\angle 5$.
(ii) If $\angle 4=\angle 6$, then $a \| b$.
(iii) If $\angle 4+\angle 5=180^{\circ}$, then $a \| b$.
Simplify and express each of the following in exponential form.
$\left(3^0+2^0\right) \times 5^0$
→$\left(3^0+2^0\right) \times 5^0$
One of the acute angles of a right triangle is $36^\circ .$ Find the other.
→The population of a town increase $10\%$ annually. If its present population is $60000.$ What will be its population after $2$ years$?$
→