Question

Please help! 10 points

Answer 1

Greetings!

Answer:

Angle A is 118°

Step-by-step explanation:

All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:

x + 2x + 13 + x - 8 = 180

Clean it up:

3x + x + x + 13 -8

5x -5 = 180

To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:

5x = 180 - 5

5x = 175

Now divide each side by 5 to get the value of 1x:

$\frac{5x}{5} = \frac{175}{5}$

x = 35

So angle A is:

3x + 13

3(35) + 13 = 118

So angle A is 118°

Hope this helps!

Answer 2

We know, the sum of the measures of angles in a triangle is 180°.

Therefore we have the equation:

x + (x - 8) + (3x + 13) = 180

(x + x + 3x) + (-8 + 13) = 180    combine like terms

5x + 5 = 180     subtract 5 from both sides

5x = 175     divide both sides by 5

x = 35

m∠A = (3x + 13)°. Substitute:

m∠A = (3(35) + 13)° = (105 + 13)° = 118°