Question

in the triangle below, what is the measure (in degrees) of angle x?

a. 74°
b. 59°
c. 77°
d. 47°

Explanation:

Step1: Sum of triangle angles

The sum of angles in a triangle is $180^\circ$.

Step2: Calculate angle X

Subtract known angles from $180^\circ$: $X = 180^\circ - 55^\circ - 66^\circ$

Step3: Compute the result

$X = 59^\circ$

Answer:

b. $59^\circ$