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Eight angles are formed in the diagram. If 22 measures 75°, what is the measure of 25?

a) 45°
b) 60°
c) 80°
d) 90°

User Iamgirdhar
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1 Answer

5 votes

Final answer:

To find the measure of angle 25, subtract 75° from 360° and divide the remaining sum of angles by 7.

Step-by-step explanation:

In the diagram, there are eight angles formed. If angle 22 measures 75°, we can find the measure of angle 25 using the fact that the sum of angles around a point is 360°.

Step 1: Find the measure of the other seven angles by subtracting 75° from 360°.

Step 2: Divide the remaining sum of angles by 7 to get the measure of each angle.

Step 3: Since angle 25 is one of the seven angles, its measure is the same as the other seven angles.

Therefore, the measure of angle 25 is approximately 45°.

User Hubert Kario
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