Determine the angles of a right-angled triangle if one of the outer corners is 134 degrees.
May 2, 2021 | education
| In order to determine the angles of a right-angled triangle, if one of the outer angles is 134 °, we recall what the sum of adjacent angles is equal to.
So, the sum of adjacent angles is 180 °.
Based on this, we can find adjacent to the outer inner corner of the triangle.
180 ° – 134 ° = 46 ° the angle of the triangle adjacent to the outer one.
So, now we know the degree sulfur of the two corners of the triangle.
One angle of a straight line and its degree measure is 90 °, and one of the acute angles is 46 °.
We are looking for the third angle, based on the fact that the sum of the angles of the triangle is 180 °.
180 ° – (90 ° + 46 °) = 180 ° – 136 ° = 44 ° third corner of the triangle.
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