The bisector of the outer angle at the apex of an isosceles triangle forms
August 7, 2021 | education
| The bisector of the outer angle at the apex of an isosceles triangle forms an angle of = 70 degrees with the lateral side. find the corners of the triangle.
Find the outer angle at the apex of an isosceles triangle:
2 * 70 ° = 140 °
The inside angle at the apex of the triangle is:
180 ° – 140 ° = 40 °.
The degree measure of the external angle at the apex is known; it is a wound by the degree measure of two internal angles that are not adjacent to it.
It turns out that the two angles at the base are equal to 140 °. The angles at the base are equal, the degree measure of each:
140 ° / 2 = 70 °.
Answer: the angles of the triangle are 70 °, 70 °, 40 °.
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