Question

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

Answer 1

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.

Answer 2

Answer:

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

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Given

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

Part A

Find the value of x

Vertical angles are congruent, hence:

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

Part B

Find the measure of each angle

• 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.