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In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the m
In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the measure of angle C? (2021)
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In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the measure of angle C? (2021)
30 degrees
60 degrees
90 degrees
120 degrees
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The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (30 + 60) = 90 degrees.
Questions & Step-by-step Solutions
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Q
Q: In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is the measure of angle C? (2021)
Solution:
The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (30 + 60) = 90 degrees.
Steps: 5
Show Steps
Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
Step 2: Identify the given angles in triangle ABC: angle A = 30 degrees and angle B = 60 degrees.
Step 3: Add the measures of angle A and angle B together: 30 + 60 = 90 degrees.
Step 4: Subtract the sum of angle A and angle B from 180 degrees to find angle C: 180 - 90 = 90 degrees.
Step 5: Conclude that angle C measures 90 degrees.
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