Question

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Q3.Prove angle sum property.​

Answer 1

Answer:

PROVE THAT SUM OF ALL THREE ANGLE IS 180° OR 2 RIGHT ANGLES.

Step-by-step explanation:

GIVEN :TRIANGLE ABC

TO PROVE:ANGLE A+ ANGLE B+ ANGLE C+ =180°

CONSTRUCTION :DRAW PQ ll BC, passes through POINT A.

PROOF :ANG 1 = ANG B AND ANG 3 = ANG C

........(¡) [THEREFORE ALTERNATE ANGLE

THEREFORE PQ II BC]

THEREFORE PAQ IS A LINE

THEREFORE ANG 1 + ANG 2 + ANG 3 =180°

(LINEAR PAIR APPLICATION )

ANG B + ANG 2 + ANG C = 180°

ANG B +ANG CAB + ANG C = 180°

= 2 RIGHT ANGLES

PROVED.

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Answer 2

Answer:

Draw a diagonal of the quard you will get 2 triangles

By angle sum property of triangle

Angles of 1st triangle = 180⁰

Angle of 2nd triangle = 180⁰

Sum of the angles of 2 triangle = 360⁰