Answer:
Option D, ∠FBE
Step-by-step explanation:
The image for the question is attached herewith
Solution
As per the property of arc, angles subtended by the same arc (chord) on the circumference of a circle have equal measures.
∠FAE is an angle subtended by the arc FE that touches the circle at point 'A'.
∠FBE is also subtended by the arc FE at the point 'B'.
Therefore, we must have
m∠FAE = m∠FBE.
Since, m∠FAE = 72°, so m∠FBE = 72°.
Hence, option D, ∠FBE
The answer would be c) 129
Answer:50 inches
Step-by-step explanation:
i time it to 100
So we start by getting x on one side of the equals sign
2x-14=10
+14 +14
2x=24
divide them both by 2 to get x by itself
x=12
Answers:
- x = 9
- angle QRT = 18 degrees
- angle TRS = 72 degrees
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Explanation:
The smaller angles QRT and TRS combine to the angle QRS which is 90 degrees.
(angle QRT) + (angle TRS) = angle QRS
(2x) + (8x) = 90
10x = 90
x = 90/10
x = 9
We'll then use this x value to find each angle
- angle QRT = 2x = 2*9 = 18 degrees
- angle TRS = 8x = 8*9 = 72 degrees
As a way to check the answer,
angle QRT + angle TRS = 18+72 = 90
so the answer is confirmed.