If these two figures are similar, what is the measure of the missing angle?
34°
112°
34°
?
If these two figures are similar, what is the measure of the missing angle?
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If these two figures are similar, what is the measure of the missing angle?
34°
112°
34°
?
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°.