Find the measure of the angle
We have hundreds of course questions with personalized recommendations + Account 100% premium
Find the measure of the angle
Let's remember that the sum of angles in a triangle is equal to 180 degrees.
Therefore, we will use the following formula:
Now let's input the known data:
We'll move the term to the other side and keep the appropriate sign:
92.4
Is DE side in one of the triangles?
This is a fundamental property of triangles in flat (Euclidean) geometry. No matter what type of triangle - big, small, acute, obtuse - the three interior angles always sum to exactly 180°.
Check your arithmetic! In a valid triangle, each angle must be between 0° and 180°. If you get impossible values, you likely made a calculation error.
Not at all! Treat decimal angles just like whole numbers. Simply add 49.6 + 38 = 87.6, then subtract from 180°.
Add all three angles together: your answer + 49.6° + 38°. If the sum equals exactly 180°, you're correct!
α (alpha) is just a Greek letter used to represent an unknown angle, like using 'x' in algebra. You might also see angles labeled as ∠A, ∠B, or with other Greek letters like β (beta) or θ (theta).
Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime