A triangle has an angle that measures 40°. The other two angles are in a ratio of 11:17. What are the measures of those two angles?
A triangle has an angle that measures 110°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?
° and
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the other angles are 11x and 17x. So,
11x+17x+40 = 180
find x, then you can get the other angles.
A triangle has an angle that measures 100°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
One angle of a triangle measures 40°. The other two angles are in a ratio of 11:17. What are the measures of those two angles?
To solve this problem, we can use the fact that the sum of the angles in any triangle is always 180 degrees.
Let's represent the measure of the first angle as x.
According to the given ratio, the second angle will be 11x and the third angle will be 17x.
We also know that the sum of the three angles in the triangle is 180 degrees. So we can set up the equation:
x + 11x + 17x = 180
Combine like terms:
29x = 180
Now, divide both sides of the equation by 29 to isolate x:
x = 180 / 29
Calculating this, we find:
x ≈ 6.21
Now that we have the value of x, we can find the measures of the other two angles:
Second angle = 11x ≈ 11(6.21) ≈ 68.31 degrees
Third angle = 17x ≈ 17(6.21) ≈ 105.57 degrees
Therefore, the measures of the other two angles are approximately 68.31 degrees and 105.57 degrees, respectively.