Question
In the given figure, $\angle\text{ABD}=54^\circ$ and $\angle\text{BCD}=43^\circ,$ calculate
- $\angle\text{ACD}$
- $\angle\text{BAD}$
- $\angle\text{BDA}$
✓
Answer
- We know that the angles in the same segment of a circle are equal.
- We know that the angles in the same segment of a circle are equal.
- In $\triangle\text{ABD},$ we have:
$\Rightarrow\ 43^\circ+\angle\text{ADB}+54^\circ=180^\circ$
$\Rightarrow\ \angle\text{ADB}=(180^\circ-97^\circ)=83^\circ$
$\Rightarrow\ \angle\text{BDA}=83^\circ$
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
Salil's age is 23 years more than half of the Sangram's age. Five years ago, the sum of their ages was 55 years. Find their present ages.
In a $\triangle\text{ABC},\angle\text{ABC}=\angle\text{ACB}$ and the bisectors of $\angle\text{ABC}$ and $\angle\text{ACB}$ intersect at O such that $\angle\text{BOC}=120^\circ.$ Show that $\angle\text{A}=\angle\text{B}=\angle\text{C}=60^\circ.$
→Complete the following Cumulative Frequency Table:
Construct ∆XYZ, such that XY + XZ = 10.3 cm, YZ = 4.9 cm, ∠XYZ = 45°.
Observe the information shown in pairs of triangles given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.
In the given figure, $AB\ ||\ CD$ and $EF\ ||\ GH$. Find the value of $x, y, z$ and $t$.
→Simplify the following:$\Big(\text{x}+\frac{2}{\text{x}}\Big)^3+\Big(\text{x}-\frac{2}{\text{x}}\Big)^3$
→A farmer has produced Wheat and Jowar in his field. The following joint bar diagram shows the production of Wheat and Jowar. From the gken diagram answer the following questions:
i. Which crop production has increased consistently in 3 years?
ii. By how many quintals the production ofjowar has reduced in 2012 as compared to 2011?
iii. What is the difference between the production of wheat in 2010 and 2012 ?
iv. Complete the following table using this diagram.
i. Which crop production has increased consistently in 3 years?
ii. By how many quintals the production ofjowar has reduced in 2012 as compared to 2011?
iii. What is the difference between the production of wheat in 2010 and 2012 ?
iv. Complete the following table using this diagram.
In the adjoining figure, ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that $\angle\text{COD}=80^{\circ}$ and $\angle\text{OXA}=\text{x}^{\circ}.$ Find the value of x.
→Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the point:
- Whose y-coordinates is 3.
- whose x-coordinates is -3.