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Alisiya [41]
2 years ago
5

Angles ABC and DBE are vertical angles where m∠ABC = (5x + 5)° and m∠DBE = (6x − 3)°.

Mathematics
1 answer:
Solnce55 [7]2 years ago
8 0
Value of x when angles ABC and DBE are vertical angles where
M_ABC=(5x+ 5)° and m_DBE=(6x-3)° is 8°.
Vertical angles are complementary as there sum is 90°.
As given,
Part A:
Angles ABC and DBE are vertical angles m_ABC=(5x + 5)°
M¿DBE=(6x- 3)°
(5x+ 5\°=(6x - 31
=(6x - 5x)°=(5 +3)°
8°
Part B:
Vertical angles are complementary if there sum is 90°.
Here
m_ABC + m_DBE
5(8)+5 +6(8)-31°
= 90°
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As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

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