Math, asked by sangootiwari, 6 months ago

Prove that in a triangle if one of the angles is equal to sum of the other two angles, then it is a right-angled
triangle​

Answers

Answered by abcd5490
5

Answer:

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Answered by ItzInnocentboy4567
29

Step-by-step explanation:

Let ABC be any triangle

In which measure of angleB is equal to the measure of remaining angles that is angleA and angleC

So, in triangle ABC,

angleA + angleC= angleB …………(1)

Now, in triangle

angle A +angle B+ angle C =180°

= angle B + ( angleA + angleC) =180°

= angleB + angleB =180°…………..from(1)

=2 angleB = 180°

= angle B = 180°/2

=angleB= 90°

So, one angle of triangleABC is 90° or if one angle of triangle is 90° this triangle is known as right angled triangle.

So, it is right angled triangle

Hope it helps you ❤️❤️

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