Question

The measures of the angle of a triangle are shown on the figure below. Solve for X.

Answer 1

x=5

Explanation:

We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.

Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.

Now set the unknown angle equal to 42. (5x+17) = 42

Subtract 17from both sides to get 5x=25

Divide 5 from both sides to get x=5

Answer 2

Internal angles sum: 180(sides-2) = 180

5x = 180 - (48 + 90 + 17)

x = 25/5

x = 5

answer: 5

proof:

(90 + 48) + (5(5)+17) = 180