Question

Find the measure of angle X.

52°


64°


128°


38°

Answer 1

For this case we have an isosceles triangle, that is, it has two equal sides and a different one. If we look at the figure, the equal sides are the segment xy and the segment yz, also the angle x is equal to the angle z.

On the other hand, we know that the internal sum of the angles of a triangle is 180 degrees.

So:

`x + y + z = 180`

Knowing that
`y = 52` and
`x = z`

`x + 52 + x = 180\\2x + 52 = 180\\2x = 180-52\\2x = 128\\x = \frac {128} {2}\\x = 64`

Thus, the angle x is 64 degrees.

Answer:

64 degrees

Option B