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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?

Respuesta :

xKelvin

Answer:

92 Degrees

Step-by-step explanation:

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

[tex]x+(x+6)+(2x+10)=180[/tex]

Combine like terms:

[tex]4x+16=180[/tex]

Subtract 16 from both sides:

[tex]4x=164[/tex]

Divide both sides by 4:

[tex]x=41[/tex]

So, x is 41.

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

[tex]2(41)+10[/tex]

Multiply:

[tex]=82+10[/tex]

Add:

[tex]=92\textdegree[/tex]

And we're done!

meredith48034

Answer:

Step-by-step 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

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