A triangle has squares on its three sides as shown below. What is the value of x?
1 answer:
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Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m = 48°
∴ m = 2 × 48° = 96°
m∠AEF = (1/2) × m
m + m
= 360° (angle round a circle)
∴ m = 360° - m
= 360° - 96° = 264°
m = m
+ m
∴ m = m
- m
= 264° - 175° = 89°
m = 89°.
