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If angle A and angle B are supplementary, and angle A measures 75 degrees, what
If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?
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Q1
If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?
105 degrees
75 degrees
45 degrees
90 degrees
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Supplementary angles sum to 180 degrees. Therefore, angle B = 180 - 75 = 105 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?
Solution:
Supplementary angles sum to 180 degrees. Therefore, angle B = 180 - 75 = 105 degrees.
Steps: 6
Show Steps
Step 1: Understand that supplementary angles are two angles that add up to 180 degrees.
Step 2: Identify the measure of angle A, which is given as 75 degrees.
Step 3: Use the formula for supplementary angles: angle A + angle B = 180 degrees.
Step 4: Substitute the value of angle A into the equation: 75 + angle B = 180.
Step 5: To find angle B, subtract 75 from 180: angle B = 180 - 75.
Step 6: Calculate the result: angle B = 105 degrees.
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