<PRE><B>Question 1207174</B>

In an isosceles triangle,the measure of one base angle is 15 degrees more than twice the measure of the vertex angle. Find the measures of all three angles

Let vertex angle be x deg

Base angles= (2x+15) deg  ( base angles are equal in isoscles triangle)

x+(2x+15)+(2x+15) = 180 ( sum of angles of triangle)

5x+30 =180

5x = 180-30

5x =150
x=30

Vertex = 30 deg

Base angles = (2x+15)

Plug x

Base angles = 2*30+15= 75 

Vertex angle: 30 degrees
Base angles: 75 degrees


Check
75+75+30 =180 



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