Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

One angle in a triangle has a measure that is three times as large as
the smallest angle. The measure of the third angle is 35 degrees more
than that of the smallest angle. Find the measure of the LARGEST angle


Sagot :

We know that the sum of all angles in any triangle is always 180 and we know that:

The smallest angle = x
Angle 2 = x + 35
Angle 3 = 3 * x

So:

180 = x + x + 35 + 3 * x
180 = x + x + 35 + 3x
180 = 2x + 35 + 3x
180 = 5x + 35                 / - 35 (both sides)
145 = 5x                         / ÷ 5 (both sides)
x = 29

The smallest angle = 29
Angle 2 = 29 + 35 = 64
Angle 3 = 3 * 29 = 87

Check:

29 + 64 + 87 = 180, so it's correct :)
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.