Question

One of a angle of a triangle is equal to the sum to the other two find the measure of that angle

Answer 1

Step-by-step explanation:

Let the triangle be ΔABC and ∠B=∠A+∠C

But, sum of angles of triangle =180

o

⇒∠A+∠B+∠C=180

o

⇒∠B+∠B=180

o

⇒∠B=90

o

.

Answer 2

Given:

• The one of a angle of a triangle is equal to the sum of the other two.

To find :

• The measure of that angle

Solution:

Let's take the measure of that angle be x, and the other two angles be y and z

Therefore,

According to the question:

x = y + z

According to the angle sum property of the triangle,

=> x + y + z = 180°

As, x is greater than both y and z,

So,

if we compare the numbers,

we get,

90° as the most greatest angle that is equal to sum of another two angles and will be subtracted by 180°

Therefore,

Measure of that angle is 90°