Answer:
[tex]x=15^o[/tex]
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal interior angles
so
The triangles of the figure are isosceles triangles, because they have two equal sides
Remember that
The sum of the interior angles in the triangle is equal to 180 degrees
In the triangle of the left we have that
The measure of the two equal interior angles are 5x and 5x and the measure of the third angle (vertex angle) is 2x by vertical angles)
so
[tex]5x^o+5x^o+2x^o=180^o[/tex]
solve for x
[tex]12x=180\\x=15^o[/tex]
