Questions: Using the image above, the measure of <A F E is:
100°
90°
150°
140°
Transcript text: Using the image above, the measure of $
Solution
Solution Steps
Step 1: Identify the Given Angle
The given angle in the image is ∠BCF, which measures 50°.
Step 2: Recognize the Right Angle
The angle ∠BFD is a right angle, which measures 90°.
Step 3: Calculate the Straight Angle
The straight angle ∠BFE is the sum of ∠BFD and ∠DFE. Since ∠BFD is 90°, and ∠DFE is the supplementary angle to ∠BCF (180° - 50° = 130°), we can find ∠AFE.
Step 4: Calculate ∠AFE
Since ∠AFE is the sum of ∠BFD and ∠DFE:
∠AFE = 90° + 50° = 140°