Question

In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180º. What is the measurement of the largest angle in degrees?

Answer 1

Explanation:

x + x + 6 + 2x + 10 = 180

4x + 16 = 180

4x = 164

x = 41

x + 6 = 47

2(41) + 10= 82 + 10= 92 largest angle in degrees

Answer 2

92 Degrees

Explanation:

As given, the sum of the three expressions is 180. So:

`x+(x+6)+(2x+10)=180`

Combine like terms:

`4x+16=180`

Subtract 16 from both sides:

`4x=164`

Divide both sides by 4:

`x=41`

So, x is 41.

The largest angle is evidently (2x+10). So, substitute 41 for x to solve for the angle. Thus:

`2(41)+10`

Multiply:

`=82+10`

Add:

`=92\textdegree`

And we're done!