Question

If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees? A horizontal line. A line extends from the line to form a 90 degree angle. Another line cuts through the 2 lines to form angles 1 and 2, which total 90 degrees.

Answer 1

Answer:

58 degrees

Step-by-step explanation:

If angle 1 + angle 2 = 90 degrees, then:

(3x - 4) + (4x+10) = 90

Combine like terms:

(3x+4x) + (10-4) = 90

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

**Plug x back into angle 2 (This step is easy to forget!):

angle 2 = 4(12) + 10

angle 2 = 48 + 10

angle 2 = 58 degrees