Fill in the missing sign (?) according to the diagram:
Angle BAC ? angle E
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Fill in the missing sign (?) according to the diagram:
Angle BAC ? angle E
Fist let's look at triangle ABC, remembering that the sum of angles in a triangle equals 180 degrees.
In triangle ABC, we are given two angles: 40 and 90.
Therefore, we can calculate BAC as follows:
Now let's look at angle E, noting that it is greater than 90 degrees.
Therefore:
Look at the angles shown in the figure below.
What is their relationship?
\( \)
Look at the angle markings in the diagram! The curved lines with "40" show you exactly which angles measure 40°. One is at vertex B and one is at vertex C.
Angle E appears to be an obtuse angle based on the diagram. It looks wider than a right angle (90°), making it larger than our calculated angle BAC of 50°.
Double-check your arithmetic: . Remember the right angle (square symbol) is 90°, not one of the 40° angles!
Absolutely! Many triangles can share the same angle measures. What matters here is comparing the specific angles BAC and E from this particular diagram.
Think of it this way: if you walk around any triangle and return to your starting point, you've made exactly one complete turn = 360°. The interior angles are half of that!
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