In a triangle, one angle is twice the second , and the third angle is 20 degrees less than the second . What is the measure of largest angle?
just add up the angles. If the 2nd angle is x, then
x + 2x + x-20 = 180
Knowing x, you can surely find 2x.
X= 50
To find the measure of the largest angle in the triangle, we can set up equations using the given information.
Let's say the second angle is "x" degrees.
According to the given information:
- One angle is twice the second, so the first angle is 2x degrees.
- The third angle is 20 degrees less than the second, so the third angle is (x - 20) degrees.
In any triangle, the sum of all three angles is always 180 degrees.
So we can write the equation:
First angle + Second angle + Third angle = 180
Substituting the values we found, we get:
2x + x + (x - 20) = 180
Simplifying the equation:
4x - 20 = 180
Adding 20 to both sides:
4x = 200
Dividing both sides by 4:
x = 50
Therefore, the second angle is 50 degrees, the first angle is 2x = 2 * 50 = 100 degrees, and the third angle is (x - 20) = 50 - 20 = 30 degrees.
The largest angle is the first angle, which measures 100 degrees.