If these two figures are similar, what is the measure of the missing angle?

To find the measure of the missing angle in similar figures, we can use the fact that the sum of the angles in a triangle is always 180°.

Given the angles are:

34°

112°

34°

Let’s add the known angles together:

34° + 112° + 34° = 180°.

Now, if we want to find the missing angle (let’s call it x), we can set up the equation:

x + 34° + 112° = 180°.

Now sum the known angles that equal 180°:

34° + 112° = 146°.

Substituting this value into the equation gives us:

x + 146° = 180°.

Now, to find x, we subtract 146° from 180°:

x = 180° – 146° = 34°.

So, the measure of the missing angle is 34°.