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

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




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1 Answer

  1. 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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