One of the angles of the triangle is 27 degrees, and the second is twice the third. Find the corners of the triangle and set its appearance.
This problem will be solved by drawing up an equation;
Let x be the measure of the third angle in a given triangle;
Then 2 * x is the measure of the second angle in this triangle;
We also know that the first angle in this triangle is 27 °, and the sum of all angles in this triangle is 180 °, we compose an equation of the following form:
x + 2 * x + 27 = 180 °;
3 * x = 180 – 27;
3 * x = 153;
x = 153: 3;
x = 51.
51 ° is the measure of the third angle in this triangle;
2 * 51 = 102 ° is the measure of the second angle in this triangle.
Answer: 51 ° is the measure of the third angle in this triangle; 102 ° is the measure of the second angle in this triangle.
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