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Natali5045456 [20]
2 years ago
5

Find the measure of arc DB. 25° 96° 118° 146°

Mathematics
1 answer:
Sati [7]2 years ago
3 0

Answer:

146°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

(5x )\degree =  \frac{1}{2} [(25x + 21) \degree - 96 \degree]  \\  \\ (5x )\degree  \times 2= (25x + 21 - 96) \degree  \\  \\ (10x )\degree  = (25x + 21 - 96) \degree  \\  \\ 10x = 25x - 75 \\  \\ 75 = 25x - 10x \\  \\ 75 = 15x \\  \\ x =  \frac{75}{15}  \\  \\ x = 5 \\  \\ m  (\widehat{DB}) = (25x + 21) \degree \\  \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\  \\  m(\widehat{DB} )= (125 + 21) \degree \\  \\ \huge  \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\  \\

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