Question

Also need help on this but please hurry​

Answer 1

x(angle A)=18.9 Angle B=94.5 Angle C=66.6

Explanation:

Angle A+ angle B+ Angle C= 180

(x)+(5x)+(4x-9)= 180

add the x components: x+5x+4x= 10x

10x-9 =180

add 9 to each side to balance the equation

10x=189

Divide each side by 10 to get x

10x/10=x 189/10= 18.9

x=18.9

Put x back into the equations

B=5x B=5(18.9) B=94.5

C=4x-9 C=4(18.9)-9

C=66.6

Answer 2

We first solve for x, then plug that value into all angle measures.

As selected in the first part,

m∠A + m∠B + m∠C = 180°,

We use this formula to solve for x.

Replace those angle variables with its actual equations, knowing that:

• Angle A = x °
• Angle B = 5x°
• Angle C = 4x - 9°

So, set up the equation:

m∠A + m∠B + m∠C = 180°,

x + (5x) + (4x - 9) = 180°

Solve for x;

x + (5x) + (4x - 9) = 180°

Group and combine like terms;

(5x + x + 4x) + (-9) = 180°

10x - 9 = 180°

Get rid of constants;

+9 +9

10x = 189°

Get rid of co-efficient;

÷10 ÷10

x = 18.9°, x is equal to 18.9°.

Now, plug the value of x into angle 'A':-

x °

(18.9) °

∠A = 18.9°.

Then, plug the value of x into angle 'B':-

5x°

5(18.9) °

94.5°

∠B = 94.5°.

Finally, plug the value of x into angle 'C':-

4x - 9°

4(18.9) - 9°

75.6 - 9°

66.6°

∠C = 66.6°.