the measures of the angles of a triangle are shown in the figure below. solve for $x$. \n\nanswer attempt 1…

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

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

Answer

Explanation:

Step1: Identify the sum of interior angles in a triangle

The sum of the interior angles of any triangle is always $180^{\circ}$.

Step2: Identify the known angles from the figure

The figure shows a right angle ($90^{\circ}$) and an angle of $29^{\circ}$.

Step3: Set up the equation for the unknown angle $x$

$$x + 90 + 29 = 180$$

Step4: Simplify the equation and solve for $x$

$$x + 119 = 180$$ $$x = 180 - 119$$ $$x = 61$$

Answer:

$x = 61$