Exterior Angle Property of Triangle

Author:Dr. Sanjeev Verma & R.K. Tyagi
7th CBSE
IMPORTANT

Important Questions on Exterior Angle Property of Triangle

EASY
IMPORTANT

One of the exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 5:3. Find the angles of the triangle.  

EASY
IMPORTANT

In a triangle an exterior angle at a vertex is 95° and its one of the interior opposite angles is 55°. Find all the angles of the triangle. 

EASY
IMPORTANT

In the figure below find AED  

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MEDIUM
IMPORTANT

In the figure below find ABD. Also, find ABC, if C=3ABC  

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MEDIUM
IMPORTANT

In the figure below two of the angles are indicated. What are the measures of ACX and ACB

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MEDIUM
IMPORTANT

In the following figure the measure of some of the angles are indicated the values of x and y are respectively

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MEDIUM
IMPORTANT

In the following figure the values of x and y are respectively 

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MEDIUM
IMPORTANT

In the following figure, ABC is equilateral. Find the measure of all the exterior angles i.e. FAB, DBC and ACE. Are they all same?

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HARD
IMPORTANT

Sides BC, CA and BA of a triangle ABC are produced to D, Q, P, respectively as shown in the figure. If ACD=100° and QAP=35°, find all the angles of the triangle ABC.

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HARD
IMPORTANT

In the following figure, the sides BC, CA and AB of ABC are produced in the order forming exterior angles ACD, BAE and CBF. Show that ACD +BAE+CBF=360°.

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HARD
IMPORTANT

The sides AB and AC of ABC are produced to P and Q respectively. The bisectors of exterior angles at B and C of ABC meet at O.

Prove that BOC=90°-12A.

HARD
IMPORTANT

In the given figure, ABC is a triangle. If 1, 2 and 3 are the exterior angles, then 1+2+3=?

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MEDIUM
IMPORTANT

In the given figure, if CDE=DEC, then AED=?

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MEDIUM
IMPORTANT

In the given figure, if ACD=56 of a straight angle, the value of x is

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