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katrin2010 [14]

11 months ago

10

Angles ABC and DBE are vertical angles where m∠ABC = (7x + 7)° and m∠DBE = (8x − 4)°.

2 answers:

lisov135 [29]11 months ago

5 0

Answer:

x =11

Step-by-step explanation:

2 vertical angles must equal up to 180 degrees to be considered supplementary. The equation given is not supplementary because the angles add up to 168.

n200080 [17]11 months ago

4 0

Answer:

A) x = 11,
B) No, the angles are not supplementary

--------------------------------------------------

<h2>Given</h2>

Vertical angles ABC and DBE,
m∠ABC = (7x + 7)° and m∠DBE = (8x − 4)°.

<h2>Part A</h2><h3>Find the value of x</h3>

Vertical angles are congruent, hence:

7x + 7 = 8x - 4
8x - 7x = 7 + 4
x = 11

<h2 /><h2>Part B</h2>

<h3>Find the measure of each angle</h3>

7*11 + 7 = 84

Vertical angles are also supplementary if they are right angles. The given angles are not right angles and therefore not supplementary.

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