Question

PLEASE ANSWER ASAP

The measures of the angles ABC are given by the expressions in the table, what are the measures of
Angle
A (12x+12) degrees
B 15 degrees
C (3x+18) degrees

Answer 1

To find the measure of angle A, we substitute the given expression into the formula for the measure of an angle:

A = 12x + 12 degrees

To find the measure of angle C, we substitute the given expression into the formula for the measure of an angle:

C = 3x + 18 degrees

The measure of angle B is already given as 15 degrees.

Therefore, the measures of the three angles are:

Angle A = 12x + 12 degrees

Angle B = 15 degrees

Angle C = 3x + 18 degrees

Answer 2

Answer

Angle A = 120 degrees
Angle B = 15 degrees
Angle C = 45 degrees



Step by Step explanation:


To find the measure of angle A, we simply substitute the given expression for angle A, which is 12x + 12 degrees:

Angle A = 12x + 12 degrees

To find the measure of angle C, we substitute the given expression for angle C, which is 3x + 18 degrees:

Angle C = 3x + 18 degrees

Since the sum of the angles in any triangle is always 180 degrees, we can use this fact to find the measure of angle B. We know that:

Angle A + Angle B + Angle C = 180 degrees

Substituting the expressions for angles A and C, we get:

(12x + 12) + 15 + (3x + 18) = 180

Simplifying this equation, we get:

15x + 45 = 180

Subtracting 45 from both sides, we get:

15x = 135

Dividing both sides by 15, we get:

x = 9

Now we can substitute x = 9 back into the expressions for angles A and C to find their measures:

Angle A = 12x + 12 degrees = 12(9) + 12 = 120 degrees

Angle C = 3x + 18 degrees = 3(9) + 18 = 45 degrees

Therefore, the measures of the angles ABC are:

Angle A = 120 degrees
Angle B = 15 degrees
Angle C = 45 degrees