Question

Prove ANGLE SUM PROPERTY OF A TRIANGLE

Answer 1

Answer:

Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Proof: Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line \overleftrightarrow {PQ} parallel to the side BC of the given triangle.

please drop a thanks

Answer 2

Answer:

• Theorem : The sum of all the angles of a Triangle is 180°.

• Given : A triangular figure PQR
• ToProve : <P + <Q+ <R=180°

Construction : Draw line XPY II QR.

Proof : XPY is a line.

<4 + <1 + <5 = 180° -a. (Straight Angle)

Now , XY II QR and PQ is the transversal.

Therefore, <4 = <2 -b (Alt.Angle)

Also , XY II QR and PR is the transversal.

Therefore, <5= <3 -c (Alt.Angle)

Substitute b and c in a

Therefore.

<2 + <1 + <3 =180°

ie, <P + <Q +R = 180°

Hence proved .

Tag as Brainliest

tq for asking

Au Revoir :)