Pls help me with this question and if don't know, pls don't answer. thank you!
1 answer:
Answer:
m∠DEF = 127°
Step-by-step explanation:
Length of arc is double the inscribed angle formed by two chords or secants meeting at a point on the circle,
By this property,
Measure of Inscribed angle ∠DEF =
(6x + 37) =
12x + 74 = 19x - 31
19x - 12x = 74 + 31
7x = 105
x = 15
Therefore, m(∠DEF) = 6(15) + 37
= 90 + 37
= 127°
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You can use trigonometry specially the cos rule in this case. I can’t send the other pictures. But using the cos rule you can check whether the angle is 90
