Question

find the measure of ∠x in the triangle. the measure of ∠x is (square^{circ}) (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.
Let the three angles of the triangle be \(x\), 65°, and 42°. So, \(x + 65+42=180\).

Step2: Solve for \(x\)

First, add 65 and 42: \(65 + 42=107\). Then, the equation becomes \(x+107 = 180\).
Subtract 107 from both sides: \(x=180 - 107\).
\(x = 73\).

Answer:

73