Find the third corner of a triangle if the two angles are 20 degrees and 70 degrees.
March 7, 2021 | education
| From the condition, we know the degree measure of the two angles of the triangle and it is equal to 20 ° and 70 °.
In order to find the degree measure of the third angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.
It says that the sum of the angles of the triangle is 180 °.
Let us denote by the variable x the degree measure of the third angle and solve the linear equation:
x + 20 + 70 = 180;
Move the terms without a variable to the right side of the equation:
x = 180 – 20 – 70;
x = 180 – 90;
x = 90 °.
So the third angle of the triangle is 90 °.
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