I need help, it says find the measure of each angle in the following triangle. Enter your answers in degrees by entering deg after any value that is in degrees.

The sum of a triangle's interior angles is equal to 180 degrees. Using this information, we will add all of the angles together and set it equal to 180° to solve for x.

Equation:

4x° -10° + 3x° + 10° + x° - 4° = 180°

Combine like terms:

8x° - 4° = 180°

Add 4 to both sides of the equation:

8x° = 184°

Divide both sides of the equation by 8°:

x = 23

Substitute this back into the expression for each angle.

m∠R = 4x° -10° = 4(23)° -10° = 82°

m∠P = 3x° + 10° = 3(23)° + 10° = 79°

m∠Q = x° - 4° = (23)° - 4° = 19°

loopygames18p40ojf loopygames18p40ojf · Answer 2 · 2024-01-19T23:39:58+01:00

Answer: 82 R, 79 P, 19 Q

Step-by-step explanation:

Because this is a triangle and has one variable, you can add up all the angles and set it equal to 180 degrees. This allows you to make an equation and solve for x, then enter x back into the triangle to determine the degrees of the angle.

4x-10 + 3x + 10 + x - 4 = 180

8x = 184

x = 23

4(23)- 10 = 82 angle R

3(23) + 10 = 79 angle P

23-4 = 19 angle Q.

You can verify you did everything correct by adding up the angles again and making sure that it adds up to 180 degrees.

82+79+19 = 180