In triangle abc, the size of angle b is 3 times the size of angle a, and the size of angle c is 12degrees less than 6 times the size of angle a.

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

----> equation a

----> equation b

----> equation c

Solve the system by substitution

Substitute equation b and equation c in equation a

Solve for A

Find the measure of angle B

Find the measure of angle C

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720