We appreciate your visit to In the diagram shown to the right m angle GAF x 6 m angle EAF x 18 m angle GAE 72 Find the value of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
find x first 72-18+6=48
now make x=48
48-6=42
now x is 42
42+18=60
now x=60
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Final answer:
In the given geometry question, we used the property that the sum of angles of a triangle adds up to 180 degrees. After plugging in and solving the equation, we find that the value of x is 48. The measurement of angle GAF is 42 and the measurement of angle EAF is 66.
Explanation:
From the issue, it is clear that it's an angle properties question in geometry. Given that, the sum of angles of a triangle equals to 180 degrees:
Using this rule, the equation will be mGAF + mEAF + mGAE = 180. If we substitute the given values into the equation, it becomes x - 6 + x + 18 + 72 = 180. Solving this equation, we get 2x + 84 = 180.
First, subtract 84 from both sides to isolate 2x. This calculation gives 2x = 96. Then, divide both sides by 2 to find the value of x. This gives x = 48.
Now that we have the value of x, mGAF = x - 6 = 42 and mEAF = x + 18 = 66.
