Question

find the value of x.
(there is a triangle with angles 52°, 73°, and x°)
enter the correct number in the box.
show hints
x =
7
8

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for a triangle with angles \(A = 52^{\circ}\), \(B=73^{\circ}\), and \(C = x^{\circ}\), we have the equation \(A + B+C=180^{\circ}\).

Step2: Substitute the known values into the equation

Substitute \(A = 52\) and \(B = 73\) into \(A + B + C=180\). We get \(52+73+x = 180\).
First, calculate \(52 + 73\): \(52+73=125\). So the equation becomes \(125+x=180\).

Step3: Solve for \(x\)

Subtract 125 from both sides of the equation \(125+x=180\). Using the subtraction property of equality (\(a + b=c\) implies \(b=c - a\)), we have \(x=180 - 125\).
Calculate \(180-125\): \(180-125 = 55\).

Answer:

\(x = 55\)