Exterior Angle: If the side BC of a triangle ABC is produced to form ray BD, then is called an exterior angle of at C and is denoted by ext.
Theorem: If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.
Given: A triangle ABC. D is a point on BC produced, forming an exterior angle To Prove: i.e., Proof: In triangle ABC, we have ...........(i) Also, [ and forms a linear pair] ...(ii) Find (i) and (ii), we have
Hence, i.e. |
Illustration: in the figure PQ || RS. Find angle QOR.
Solution: Extend PQ to N [ Alternate interior angles are equal PN || RS and RO is the transversal ] [ Linear Pair] Now, In , we have [ Exterior angle Property] |
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An ___________________ angle of a triangle is equal to the sum of the two interior opposite angles. | |||
Right Option : A | |||
View Explanation |
An exterior angle of a triangle is greater than the opposite ____________ angles. | |||
Right Option : B | |||
View Explanation |
An exterior angle of a triangle is less than either of its interior opposite angles. | |||
Right Option : C | |||
View Explanation |
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About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
It was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice