The outer corner of the triangle is 140, the inner corners not adjacent to it are referred

The outer corner of the triangle is 140, the inner corners not adjacent to it are referred to as 3: 4. Find the interior corners of a triangle.

The sum of adjacent angles is always 180 °, so we can find the value of one of the angles of the triangle:
180 – 140 = 40 °;
Now we can find out what the sum of the two remaining angles in the triangle is equal to:
180 – 40 = 140 °;
Let’s make an equation and find the magnitude of all angles:
Let x be one part, then the first angle is 3x, and the second is 4x. Since the sum of these two angles is 140, we have the equation:
3x + 4x = 140;
7x = 140;
x = 140: 7;
x = 20;
20 * 3 = 60 ° – the first corner;
20 * 4 = 80 ° – second angle;
Answer: 40 °, 60 ° and 80 °.



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