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2 years ago

Help urgent please be certain

Mathematics

2 answers:

tankabanditka [31]2 years ago

6 0

Answer:

17 =x

Step-by-step explanation:

The angles are vertical angles, so they are equal

51 = 3x

Divide each side by 3

51/3 = 3x/3

17 =x

jarptica [38.1K]2 years ago

5 0

Answer:

C) 17

Step-by-step explanation:

Since the angle needed to be 51˚ we need to figure out which number that multiplies by 3 will get to 51˚ so 17 is the answer

17 times 3 is 51˚

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amm1812

Answer:

(a)x=128 degrees

(b) $\angle APD\neq 116^\circ$

Step-by-step explanation:

$\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ$

(a) Now:

$\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ$

(b)

$\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ$

$\angle APD\neq 116^\circ$

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