In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
Practice Questions
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Q1
In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
90 degrees
45 degrees
60 degrees
30 degrees
The sum of the angles in a triangle is always 180 degrees. Therefore, if two angles are 45 degrees each, the third angle = 180 - (45 + 45) = 90 degrees.
Questions & Step-by-step Solutions
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Q
Q: In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
Solution: The sum of the angles in a triangle is always 180 degrees. Therefore, if two angles are 45 degrees each, the third angle = 180 - (45 + 45) = 90 degrees.
Steps: 5
Step 1: Remember that the total sum of all angles in a triangle is always 180 degrees.
Step 2: Identify the angles you have. In this case, you have two angles that are both 45 degrees.
Step 3: Add the two angles together: 45 + 45 = 90 degrees.
Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 90 = 90 degrees.
Step 5: Conclude that the measure of the third angle is 90 degrees.