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If a triangle has angles of 30° and 60°, what is the measure of the third angle?
If a triangle has angles of 30° and 60°, what is the measure of the third angle?
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Q1
If a triangle has angles of 30° and 60°, what is the measure of the third angle?
90°
60°
30°
120°
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The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.
Questions & Step-by-step Solutions
1 item
Q
Q: If a triangle has angles of 30° and 60°, what is the measure of the third angle?
Solution:
The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.
Steps: 5
Show Steps
Step 1: Understand that the sum of all angles in a triangle is always 180°.
Step 2: Identify the angles you have. In this case, they are 30° and 60°.
Step 3: Add the two known angles together: 30° + 60° = 90°.
Step 4: Subtract the sum of the known angles from 180° to find the third angle: 180° - 90° = 90°.
Step 5: Conclude that the measure of the third angle is 90°.
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