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2 votes
Determine the value of x.

A) 80°

B) 160°

C) 240°

D) 78°

Determine the value of x. A) 80° B) 160° C) 240° D) 78°-example-1

1 Answer

2 votes

Answer:

A, 80°

Explanation:

This shape has 6 sides.

A 6-sided shape has interior angles that sums up to 720 degrees.

Add the given angles then set it to equal 720 degrees.

Given:

∠134

∠136

∠132

∠78

∠2x

∠x

Add and set it up to equal 720 degrees:

78 + 134 + 136 + 132 + 2x + x = 720

Combine like terms:

(78 + 134 + 136 + 132) + (2x + x) = 720

480 + 3x = 720

Subtract 480 from both sides since the inverse operation of addition is subtraction and we want to get x isolated.

-480 -480

3x = 240

Divide both sides by 3 since the inverse operation of multiplication is division:

/3 /3

x = 80°

User Doug Cassidy
by
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