arri05
12.07.2019 •
Mathematics
The measure of the vertex angle in an isosceles triangle is six less than four times the measure of a base angle find the measure of the vertex angle
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Ответ:
Base angle: x
Vertex angle: 4x - 6
In an isosceles triangle, the base angles are equal. The sum of the angles of a triangle equal 180°
Base angle + Base angle + vertex angle = 180°
x + x + 4x - 6 = 180
6x - 6 = 180
6x = 186
x = 31
Vertex angle: 4x - 6 = 4(31) - 6 = 124 - 6 = 118
118°
Ответ:
118 degrees.
Step-by-step explanation:
Let x represent measure of base angle.
We have been given that the measure of vertex angle in an isosceles triangle is six less than four times the measure of base angle.
Four times measure of base angle would be .
Six less than four times the measure of a base angle would be .
We know that base angles of an isosceles triangle are equal and measure of all angles of a triangle is 180 degrees.
Now, we will substitute in expression to find the measure of vertex angle.
Therefore, the measure of vertex angle is 118 degrees.
Ответ:
5/100 or 1/20
hope i helped you