Question

56° 52° (x - 5)° o x = 72 o x = 77 o x = 82 o x = 85

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 56°+52°+(x - 5)°=180°.

Step2: Simplify the left - hand side

First, add the known angles: 56 + 52=108. The equation becomes 108+(x - 5)=180, which simplifies to 108+x - 5=180, and further to x + 103=180.

Step3: Solve for x

Subtract 103 from both sides of the equation: x=180 - 103. So, x = 77.

Answer:

x = 77