Two angles of a triangle are 50 and 30. What is the 3rd?
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Step-by-Step Solution
Step 1: Recall Angle Sum Property
A fundamental property of triangles states that the sum of the measures of its three interior angles is always equal to 180∘. This property is crucial for finding unknown angles within a triangle.
Step 2: Set up the equation
Let the three angles of the triangle be A, B, and C. We are given two angles, say A=50∘ and B=30∘. We need to find the third angle, C. We can set up an equation using the angle sum property.
Step 3: Substitute known values
Now, substitute the given values of the two angles into the equation. We have 50∘ for the first angle and 30∘ for the second angle.
Step 4: Simplify and solve for C
First, add the two known angles: 50∘+30∘=80∘. Then, subtract this sum from 180∘ to find the measure of the third angle, C.