Question

2. Find the values of x if the three angles of a triangle are:
(c) 3X, x÷2,5x÷2​

Answer 1

Answer: x=30°

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Answer 2

Step-by-step explanation:

Given:-

The three angles of a triangle are 3X, x÷2,5x÷2

To find:-

Find the value of x ?

Solution:-

Given angles of a triangle are 3X , X/2 and 5X/2

We know that The Angle Sum Property

The sum of all the angles in a triangle is 180°

=>3X + (X/2) + (5X/2) = 180°

=>(6X+X+5X)/2 = 180°

=>12X /2 = 180°

=>6X = 180°

=>X = 180°/6

=>X = 30°

=>3X = 3×30°=90°

X/2 = 30°/2 = 15°

5X/2 = 5×30°/2 = 150°/2 = 75°

Answer:-

The value of X = 30°

The angles are 90° , 15° and 75°

Used formula:-

Angle Sum Property:-

• The sum of all the angles in a triangle is 180°