- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Construct the following angles and verify by measuring them by a protractor:

**(i)** $ 75^{\circ} $

**(ii)** $ 105^{\circ} $

**(iii)** $ 135^{\circ} $.

**To do:**

We have to construct the given angles and verify them by measuring them with a protractor.

**Solution:**

(i)

Steps of construction:

(a) Draw a ray $BC$.

(b) With centre $B$ and a suitable radius, draw an arc meeting $BC$ at $E$.

(c) Cut off arc $EF = FG$ from $E$.

(d) Bisect the arc $FG$ at $K$ and join $BK$ so that $\angle KBC = 90^o$.

Bisect arc $HF$ at $L$ and join $BL$ and produce it to $

Therefore,

$\angle ABC = 75^o$.

(ii)

Steps of construction:

(a) Draw a ray $BC$.

(b) With centre $B$ and a suitable radius draw an arc meeting $BC$ at $E$.

(c) From $E$, cut off arc $EF = FG$ and divide $FG$ at $H$.

(d) Join $BH$ meeting the arc at $K$.

(e) Bisect the arc $KG$ at $L$.

Join $BL$ and produce it to $A$.

Therefore,

$\angle ABC = 105^o$.

(iii)

Steps of construction:

(a) Draw a ray $BC$.

(b) With centre $B$ and a suitable radius, draw an arc meeting $BC$ at $E$.

(c) From $E$, cut off $EF = FG = GH$.

(d) Bisect arc $FG$ at $K$ and join them.

(e) Bisect arc $KH$ at $L$.

(f) Join $BL$ and produce it to $A$

Therefore,

$\angle ABC = 135^o$.

- Related Questions & Answers
- ORDER BY rand() and keep them grouped in MySQL?
- Construct a pair of languages by using CFG
- Check if a large number is divisible by 75 or not in C++
- Construct the Regular expression for the given languages by the user.
- C program to store Student records as Structures and Sort them by Name
- Sorting words by last character present in them in JavaScript
- Construct the SLR Parsing table for the following grammar. Also, Parse the input string a * b + a.
- C++ Program to Construct a Random Graph by the Method of Random Edge Selection
- Measuring elapsed time in Java
- Construct an array by executing a function over each coordinate in Numpy
- Prepare a depreciation table using double decline balance method with the following details provided by ABC company.
- Construct NFA for the following language and convert it into DFA using the algorithm - L = (aa+ (bb*)c*)
- How can I restore a file created by mysqldump?
- How can I restore a database dumped by mysqldump?
- Write a program in Python to verify camel case string from the user, split camel cases, and store them in a new series
- How can I determine the connection method used by a MySQL Client?