Question

One of the angles of a triangke is equal to the sum of other two. find the measure of this angle​

Answer 1

Given:

• One angle of a ∆ is equal to the sum of other two angles.

To Find:

• The Value of the angle.

Answer:

We know that angle sum property of a triangle is 180° .

Let us take

• First angle be x .
• Second angle be y.
• Third angle be z .

Let us take the measure of x is equal to the sum of y and z .

ATQ,

=> x = y + z

=> x + y + z = y + z + y+z .

=> 180° = 2x + 2y .

=> 2(x+y) = 180°.

=> (x + y) = 180°/2.

=> z = 90°.

Hence the required answer is 90°.