Angle Sum Property of a Triangle

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Angle Sum Property of a Triangle: Overview

This topic covers concepts, such as, Property Related to Sum of Angles in Triangles etc.

Important Questions on Angle Sum Property of a Triangle

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The measure of an angle of a right-angled triangle is 30°. Find the measure of its other angle in degree °.

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In the triangle ABC, sides BC, CA, and AB are extended to point D, E, and F so that $\angle$BAE, $\angle$ACD, $\angle$CBF are exterior angles.
What is the sum of the exterior angles?
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Find the sum of the exterior angles in degrees.

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In the triangle below, x= _____°.

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What is the value of x in the below triangle?
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The value of x= _____degrees.

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If the angles of  are in the ratios 1 : 2 : 3, then it is _____ angled triangle.

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In ABC, BAC=90° and AD BC. If BAD=40°, then what is the numerical value of ACD?

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Sum of the angles of a triangle is _____.

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In the adjoining figure, O is the centre of the circle and AB is a tangent to it at point B and BDC = 65°. IfBAO=k°,then find value of k

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In the given figure, AB is the diameter of the circle with centre O, and AT is the tangent. Calculate the numerical value of x.

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In the given figure, ABCD is a cyclic quadrilateral, PQ is tangent to the circle at point C and BD is its diameter. If DCQ=40° and ABD=60°, find ADB.

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If PQ is a tangent to the circle at R, calculate ROT. Given that, O is the centre of the circle and angle TRQ = 30°.

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EDC is a triangle formed in this image. What is the value of angle q ?

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In the figure, find the value of $ \angle $AED.

 

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$ \angle $AED = _____degrees.

 

 

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In figure, using angle sum property of a triangle, find out value of x in terms of $ \alpha $ , $ \beta $ , $ \gamma $ ?

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In the triangle PQR above, what is the value of x?

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In triangle PQR above, what is the measure of angle marked x?

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In the above figure, what is the measure of the angle marked x?

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In the triangle AOB, AO is extended to point D and BO is extended to point C. 
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Identify the set of exterior angles?

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In the triangle below side, BC is extended to point D. 

Which of these statements is correct about the measure of $\angle$ ACD?

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In the triangle below, $\angle$ABC = $\angle$ACB.
 

The measure of $\angle$ABC = _____ degrees.