Question

28. The angles of a triangle are 4r", (2x + 30) and (5x - 15). Find the angles and then show
that the triangle is an equilateral triangle.
Find the​

Answer 1

Answer:

55° is the answer of this question

Answer 2

Step-by-step explanation:

Given:-

The angles of a triangle are 4x", (2x + 30) and(5x - 15).

To find:-

Find the angles and then show that the triangle is an equilateral triangle.

Solution:-

The angles of a triangle are 4x°,(2x+30)° and (5x-15)°.

We know that the sum of all the three angles in a triangle is 180°

=>4x°+2x+30°+5x-15°=180°

=>11x+15°=180°

=>11x=180°-15

=>11x=165°

=>x=165°/11

=>x=15°

now,

4x=4(15)=60°

2x+30°=2(15)+30°=30°+30°=60°

5x-15=5(15)-15=75°-15°=60°

The angles are 60°,60°,60°

all are equal.

So The triangle is an equilateral triangle

Answer:-

The angles are 60°,60°,60°

It is an equilateral triangle