Question 1052475
.
in isosceles triangle ABC, angle C is the vertex angle. If measure angle A is 3x + 5 and mesaure angle C = 2x, find the measure of angle B.
~~~~~~~~~~~~~~~~~~~~~~


<pre>
If I do understand the condition correctly, then the angles A and B are base angles.
Then they are congruent and have the measure of 3x+5 each.

So, you have an equation 

(3x+5) + (3x+5) + 2x = 180.   (the sum of interior angles of a triangle . . . ).

Simplify and solve it for x.
</pre>

For many other solved similar problems see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-angles-of-a-triangle.lesson>Solved problems on angles of a triangle</A>

in this site.


You have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A>

in this site. 


The referred lesson is the part of this textbook in the section "<U>Introductory Geometry problems</U>" 
under the topic "<U>Finding angles of triangles, parallelograms and rectangles</U>".