Question

15) Find m∠E 16) Find m∠JRS 17) Find m∠C 18) Find m∠FAB 19) Find m∠S 20) Find m∠C Help please I don't know how to find or do what it's asking. If anyone could explain to me step by step how to them I would appreciate it. ​

Answer 1

15)

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Given:

Angle 1 = 55 degrees

Angle 2 = 10 + 7x degrees

Angle 3 = 5x - 5 degrees

Now, substitute the given values into the equation:

55 + (10 + 7x) + (5x - 5) = 180

Now, let's simplify the equation and solve for x:

55 + 10 + 7x + 5x - 5 = 180

Combine like terms:

12x + 60 = 180

Now, subtract 60 from both sides of the equation:

12x = 180 - 60

12x = 120

Now, divide both sides by 12 to solve for x:

x = 120 / 12

x = 10

Now that you've found the value of x, you can find the measures of the second and third angles:

Angle 2 = 10 + 7x = 10 + 7(10) = 10 + 70 = 80 degrees

Angle 3 = 5x - 5 = 5(10) - 5 = 50 - 5 = 45 degrees

So, the measures of the three angles in the triangle are:

Angle 1 = 55 degrees

Angle 2 = 80 degrees

Angle 3 = 45 degrees