Question

The angles of a triangle are (x+10)⁰, (x+40)⁰ and (2x+30)⁰ . What is the type of the triangle? *
Equilateral triangle

Isosceles triangle

Scalene triangle

Right angled triangle

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Answer 1

Answer:

$so \: angles \: of \: triangle \: are \: x + 10 \: x + 40 \: and \: 2x + 30 \\ so \: sum \: of \: angles \: of \: triangle \: is \: 180 ^{0} \\ so \: x + 10 + x + 40 + 2x + 30 = 180 \\ = > 4x + 80 = 180 \\ x = (180 - 80) \div 4 = 25 \\ x = 25 \\ so \: angles \: of \: triangle \: are \: 35 \: 65 \: and \: 80 \\ so \: the \: triangle \: is \: scalene \: triangle$

Answer 2

Step-by-step explanation:

Sum of the sides of a triangle is 180°

So,

(x+10)°+(x+40)°+(2x+30)°=180°

x°+10°+x°+40°+2x°+30°=180°

x°+x°+2x°+10°+40°+30°=180°

4x°+80°=180°

4x°=180°-80°

4x°=100°

x°=100°/4

x°=25°

So,

(x+10)° = (25+10)° = 35°

(x+40)° = (25+40)° = 65°

(2x+30)° = [2(25)+30]° = [50+30]° = 80°

Therefore, it is a Scalene Triangle.(because all the three angles are different)