The first angle is 40 degrees , the second angle is 40 degrees , and the third angle is 100 degrees . The measures of the angles in the isosceles triangle are:
4 0 ∘ , 4 0 ∘ , and 10 0 ∘ .
Let's denote the measure of each of the two equal angles in the isosceles triangle as x .
Given that the measure of the third angle is 20 degrees more than twice the measure of either of the other two angles, we can express this third angle as 2 x + 20 .
The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:
x + x + ( 2 x + 20 ) = 180
Simplifying this, we get:
4 x + 20 = 180
Subtract 20 from both sides:
4 x = 160
Divide by 4:
x = 40
So, each of the two equal angles measures 40 degrees.
To find the measure of the third angle:
2 x + 20 = 2 ( 40 ) + 20 = 80 + 20 = 100
Thus, the measures of the angles in the isosceles triangle are:
4 0 ∘ , 4 0 ∘ , and 10 0 ∘ .
The complete question is:
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 20 degrees more than the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180 degrees .) The first angle is , the second angle is _ and the third angle is .
The angles of the isosceles triangle are 40 degrees, 40 degrees, and 100 degrees. The two equal angles measure 40 degrees each, while the third angle measures 100 degrees. This is derived from the property that the sum of all angles in a triangle equals 180 degrees.
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Jawab:89 x 3 = 26790 x 2 = 18091 x 2 = 18292 x 1 = 9293 x 2 = 18694 x 2 = 18896 x 1 = 9698 x 2 = 196100 x 1 = 100Penjelasan dengan langkah-langkah:267 + 180 + 182 + 92 + 186 + 188 + 96 + 196 + 100 = 1.487Jumlah data = 16Mean = 1.487/16 = 92.9375Dibulatkan menjadi = 92.94Jadi, mean pada data tersebut adalah 92.94.