Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(74^\circ + 61^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(74\) and \(61\): \(74 + 61 = 135\). So, \(135^\circ + x^\circ = 180^\circ\).

Step3: Solve for x

Subtract \(135\) from \(180\): \(x = 180 - 135 = 45\).

Answer:

\(x = 45\)