Question

Find x for this isosceles triangles. Help pls

Answer 1

`x=15^o`

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

`5x^o+5x^o+2x^o=180^o`

solve for x

`12x=180\\x=15^o`