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An exterior angle of an isosceles triangle has measure 110 degrees. Find two possible sets of measures for the angles of the triangle.
If the exterior angle of the bases is 110 degrees​, then the measure of the angle of each base is
? degrees and the measure of the vertex is
? degrees.
If the exterior angle of the vertex is 110 degrees​, then the measure of the angle of each base is
? degrees and the measure of the vertex is
? degrees.

Respuesta :

akiran007

Answer:

the vertex is 70 degrees and the other 2angles are 55 degrees each

Step-by-step explanation:

in a triangle the angles must total to 180 degrees.

if the exterior angle is 110 degrees the supplementary angle of this angle would be = 180-110= 70 degrees

as it is an isosceles triangle the other two angles must be equal.

such that x+x+70= 180 , where x are the angles of the base

2x= 180-70

2x=110

x=110/2

x= 55

HerecomesDATBOI09

Answer:

1. the base is 70° and the vertex is 40°

2. the base is 55° and the vertex is 70°

Step-by-step explanation:

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