Question

Only answer if yk how to do this

Answer 1

x=25 because a triangle is 180° so 2x+11+3x-7+2x+1=180

Answer 2

x = 25

scalene, acute

Explanation:

Sum of the interior angles of a triangle = 180°

`\implies (2x+11)+(3x-7)+(2x+1)=180`

`\implies 2x+11+3x-7+2x+1=180`

Collect like terms:

`\implies 2x+3x+2x+1+11-7=180`

Combine like terms:

`\implies 7x+5=180`

Subtract 5 from both sides:

`\implies 7x=175`

Divide both sides by 7:

`\implies x=25`

Substituting found value of
`x` into the three angle expressions:

∠A = (2 x 25) + 11 = 61°

∠B = (3 x 25) - 7 = 68°

∠C = (2 x 25) + 1 = 51°

This is a scalene triangle as it has three different angles and three different side lengths (non-congruent).

It is also an acute triangle as all interior angles are less than 90°