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In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the
In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the measure of angle C?
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In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the measure of angle C?
30 degrees
60 degrees
90 degrees
120 degrees
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Using the property that the sum of angles in a triangle is 180 degrees, angle C can be calculated as 180 - (30 + 60) = 90 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the measure of angle C?
Solution:
Using the property that the sum of angles in a triangle is 180 degrees, angle C can be calculated as 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 is 30 degrees and angle B is 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 the measure of angle C is 90 degrees.
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