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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To find the missing angle in similar figures, you can use the fact that the sum of angles in a triangle is always 180°.
Given the angles: 34°, 112°, and 34°, let’s first add the two known angles:
34° + 112° = 146°
Now, subtract this sum from 180° to find the missing angle:
180° – 146° = 34°
So the measure of the missing angle is 34°.
Since the figures are similar, corresponding angles are equal. Thus, the missing angle is the same as one of the angles we already have.
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