Find the measure of the angle
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Find the measure of the angle
Remember that the sum of angles in a triangle is equal to 180.
Therefore, we will use the formula:
Let's input the known data:
We should note that it's not possible to get a negative result, and therefore there is no solution.
There is no possibility of resolving
Can a triangle have a right angle?
This is a fundamental property of triangles in flat geometry. The three interior angles of any triangle must always equal exactly 180°. If they add up to more, it's impossible to form a triangle!
It means the problem describes an impossible situation. Just like you can't have a square with 3 sides, you can't have a triangle with angles that sum to more than 180°.
Always check first! Add up the known angles before solving. If they already exceed 180°, stop immediately and conclude 'no solution possible'.
Not a trick - it's testing your understanding of triangle properties. Recognizing when a problem has no solution is just as important as solving solvable problems!
Then you could solve! gives , which is also impossible. The angles need to be positive and sum to exactly 180°.
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