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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?

2 Answers

5 votes

Answer:

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

User Aiao
by
7.7k points
7 votes

Answer:

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!

User Hamza Usman Ghani
by
7.8k points
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