Question

question the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°.
So, \(x + 29+90=180\).

Step2: Simplify the equation

First, add 29 and 90 on the left - hand side: \(x + 119 = 180\).
Then, subtract 119 from both sides of the equation: \(x=180 - 119\).

Step3: Calculate the value of x

\(x = 61\).

Answer:

61