Question

the measures of the angles of a triangle are shown in the figure below. solve for x. (2x+17)° 57°

Explanation:

Step1: Sum triangle angles to 180°

$$(2x+17) + 90 + 57 = 180$$

Step2: Simplify the left side

$$2x + 164 = 180$$

Step3: Isolate the term with x

$$2x = 180 - 164$$
$$2x = 16$$

Step4: Solve for x

$$x = \frac{16}{2}$$

Answer:

$x=8$