stephanie50276 stephanie50276

22-12-2020
Mathematics

contestada

The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of each base angle. Find the measure of the vertex angle

Respuesta :

jcherry99 jcherry99

24-12-2020

Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

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