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Paha777 [63]
3 years ago
9

X= a) 27 b) 54 c) 61

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

The measure of ∠x=27°

Step-by-step explanation:

Given the figure  

we have to find the value of x  

As the arc AC is 68° i.e m arc(AC)=68°

By theorem, the angle subtended at the centre is twice the angle subtended at the circumference of circle i.e

m arc(AC)=2∠ABC

\angle ABC=\frac{1}{2}m arc(AC)=\frac{1}{2}\times 68=34^{\circ}

As ∠BED=61°

∠AEB and ∠BED forms a linear pair therefore their sum adds up to 180°

∠AEB + ∠BED=180°

∠AEB =180°-61°=119°

In ΔAEB, by angle sum property

∠BAE+∠ABE+∠AEB=180°

x+34°+119°=180°

x=180°-34°-119°=27°

Hence, the measure of ∠x=27°

Option a is correct

Kipish [7]3 years ago
3 0

Answer:

The measure of ∠x=27°

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