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?

Given:

m∠A = 5 × (m∠B + 7.2°)

To find:

The measure of m∠B

Solution:

m∠A = 5(m∠B + 7.2°)

Sum of adjacent angles in a straight line = 180°

m∠A + m∠B = 180°

5 × (m∠B + 7.2°) + m∠B = 180°

5 m∠B + 36° + m∠B = 180°

6 m∠B + 36° = 180°

Subtract 36° from both sides.

6 m∠B + 36° - 36° = 180° - 36°

6 m∠B = 144°

Divide by 6 on both sides, we get

m∠B = 24°

The measure of ∠B is 24°.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

true

step-by-step explanation: