Question

The angle of the triangle are 4x degree (2x+30)degree and (5x --15)degree .Find the angles and then show that the triangle is an equilateral triangle.

Answer 1

Step-by-step explanation:

we know that the sum of angles of a triangle is 180

therefore...4x+(2x+30)+(5x-15)=180

4x+2x+30+5x-15=180

11x+15=180

11x=180-15

X=165\11

X=15

hence the angles are:4*15=60

2*15+30=60

5*15-15=75-15=60

In an equilateral triangle each angle is 60 degrees

hence the triangle is an equilateral triangle

(why equilateral as angles are 60?.... two sides have 2 equal angles...but as both angles are equal

the sides are equal and is applied to all sides...hence the triangle is equilateral)

all the best

Answer 2

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