An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle? (1 point) (x+4)°= °, (3x+2)°= °

Answer 1

We know that the sum of the angles in a triangle is 180°. Since we have three angles labeled, let's set up the following equation:

(x+4)° + (3x+2)° + ° = 180°

Simplifying, we have:

4x + 6° = 180°

Subtracting 6° from both sides, we have:

4x = 174°

Dividing both sides by 4, we have:

x = 43.5°

Now we can substitute the value of x back into the original equations to find the unknown angle measures:

(x+4)° = 43.5° + 4° = 47.5°

(3x+2)° = 3(43.5°) + 2° = 130.5° + 2° = 132.5°

Therefore, the two unknown angle measures that form the 90° angle are 47.5° and 132.5°.

Answer 2

An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle?
(x+4) = (3x+2) =

Answer 3

To find the two unknown angle measures that form a 90° angle, we need to set up the equation:

(x+4) + (3x+2) + ° = 180°

Simplifying, we have:

4x + 6 = 180

Subtracting 6 from both sides:

4x = 174

Dividing both sides by 4:

x = 43.5

Now, we can substitute this value back into the original equations to find the unknown angle measures:

(x+4) = 43.5 + 4 = 47.5°

(3x+2) = 3(43.5) + 2 = 130.5 + 2 = 132.5°

Therefore, the two unknown angle measures that form the 90° angle are 47.5° and 132.5°.