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4 years ago

Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?

Mathematics

2 answers:

soldier1979 [14.2K]4 years ago

8 0

Answer: 28.8°

Step-by-step explanation:

∠A = 5(∠B) + 7.2°

∠B = ∠B

Since they are on a straight line, they form a linear pair (sum = 180°)

∠A + ∠B = 180°

Use Substitution:

5(∠B) + 7.2° + ∠B = 180°

Add like terms:

6(∠B) + 7.2° = 180°

Subtract 7.2° from both sides:

6(∠B) = 172.8°

Divide both sides by 6:

∠B = 28.8°

Anvisha [2.4K]4 years ago

6 0

Answer

The answer is 28.8

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