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In an isosceles triangle, one angle is 81° greater than each of the other two equal angles. Find the measure of all three angles.
The two smaller angles are each
The larger angle is °.

Answer :

Ans is 27


Explanation:
Isosceles is 2 r the same which means that 81 and 81 minus 180

The measure of all three angles is 81, 49.5 and 49.5 degrees.

What is Angle sum property?

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

The angle sum property formula for any polygon is expressed as, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. This property of a polygon states that the sum of the interior angles in a polygon can be found with the help of the number of triangles that can be formed inside it.

Given:

The triangle is isosceles which has two sides equal.

Also Two angles equals.

Let the equal angles are x.

third angle= 81 degree

Now, Using Angle Sum property

x+ +x + 81 = 180

2x= 180-81

2x= 99

x= 99/2

x= 49.5 degrees

Hence, the two smaller angles are 49.5 degrees.

Learn more about Angle sum property here:

https://brainly.com/question/21099419

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